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Finding the Fourth Proportional to 74,264, 102,489.18 and 40,730

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Solution

The fourth proportional to 74,264, 102,489.18 and 40,730 is: 56,210.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,264 : 102,489.18 = 40,730 : x
  2. Step 2: Convert to fraction form
    74,264/102,489.18 = 40,730/x
  3. Step 3: Cross multiply
    74,264x = 102,489.18 × 40,730
  4. Step 4: Simplify right side
    74,264x = 4,174,384,301.40
  5. Step 5: Solve for x
    x = 4,174,384,301.40/74,264
  6. Step 6: Final answer
    x = 56,210.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.