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Finding the Fourth Proportional to 142,070.40, 213,028.80 and 58,972.80

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Solution

The fourth proportional to 142,070.40, 213,028.80 and 58,972.80 is: 88,427.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,070.40 : 213,028.80 = 58,972.80 : x
  2. Step 2: Convert to fraction form
    142,070.40/213,028.80 = 58,972.80/x
  3. Step 3: Cross multiply
    142,070.40x = 213,028.80 × 58,972.80
  4. Step 4: Simplify right side
    142,070.40x = 12,562,904,816.64
  5. Step 5: Solve for x
    x = 12,562,904,816.64/142,070.40
  6. Step 6: Final answer
    x = 88,427.32

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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.