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Finding the Fourth Proportional to 72,140.10, 108,210.15 and 54,644.10

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Solution

The fourth proportional to 72,140.10, 108,210.15 and 54,644.10 is: 81,966.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,140.10 : 108,210.15 = 54,644.10 : x
  2. Step 2: Convert to fraction form
    72,140.10/108,210.15 = 54,644.10/x
  3. Step 3: Cross multiply
    72,140.10x = 108,210.15 × 54,644.10
  4. Step 4: Simplify right side
    72,140.10x = 5,913,046,257.62
  5. Step 5: Solve for x
    x = 5,913,046,257.62/72,140.10
  6. Step 6: Final answer
    x = 81,966.15

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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.