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Finding the Fourth Proportional to 142,753.20, 213,899.40 and 90,068.40

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Solution

The fourth proportional to 142,753.20, 213,899.40 and 90,068.40 is: 134,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,753.20 : 213,899.40 = 90,068.40 : x
  2. Step 2: Convert to fraction form
    142,753.20/213,899.40 = 90,068.40/x
  3. Step 3: Cross multiply
    142,753.20x = 213,899.40 × 90,068.40
  4. Step 4: Simplify right side
    142,753.20x = 19,265,576,718.96
  5. Step 5: Solve for x
    x = 19,265,576,718.96/142,753.20
  6. Step 6: Final answer
    x = 134,957.23

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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.