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Finding the Fourth Proportional to 142,475,884.80, 213,713,827.20 and 82,009,708.80

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Solution

The fourth proportional to 142,475,884.80, 213,713,827.20 and 82,009,708.80 is: 123,014,563.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,475,884.80 : 213,713,827.20 = 82,009,708.80 : x
  2. Step 2: Convert to fraction form
    142,475,884.80/213,713,827.20 = 82,009,708.80/x
  3. Step 3: Cross multiply
    142,475,884.80x = 213,713,827.20 × 82,009,708.80
  4. Step 4: Simplify right side
    142,475,884.80x = 17,526,608,735,205,518
  5. Step 5: Solve for x
    x = 17,526,608,735,205,518/142,475,884.80
  6. Step 6: Final answer
    x = 123,014,563.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.