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Finding the Fourth Proportional to 142,042.60, 212,918.10 and 82,847.80

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Solution

The fourth proportional to 142,042.60, 212,918.10 and 82,847.80 is: 124,186.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,042.60 : 212,918.10 = 82,847.80 : x
  2. Step 2: Convert to fraction form
    142,042.60/212,918.10 = 82,847.80/x
  3. Step 3: Cross multiply
    142,042.60x = 212,918.10 × 82,847.80
  4. Step 4: Simplify right side
    142,042.60x = 17,639,796,165.18
  5. Step 5: Solve for x
    x = 17,639,796,165.18/142,042.60
  6. Step 6: Final answer
    x = 124,186.66

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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.