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Finding the Fourth Proportional to 72,457.70, 108,703.31 and 22,535.15

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Solution

The fourth proportional to 72,457.70, 108,703.31 and 22,535.15 is: 33,807.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,457.70 : 108,703.31 = 22,535.15 : x
  2. Step 2: Convert to fraction form
    72,457.70/108,703.31 = 22,535.15/x
  3. Step 3: Cross multiply
    72,457.70x = 108,703.31 × 22,535.15
  4. Step 4: Simplify right side
    72,457.70x = 2,449,644,740.15
  5. Step 5: Solve for x
    x = 2,449,644,740.15/72,457.70
  6. Step 6: Final answer
    x = 33,807.93

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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.