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Finding the Fourth Proportional to 71,487.40, 107,109.54 and 46,489.24

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Solution

The fourth proportional to 71,487.40, 107,109.54 and 46,489.24 is: 69,654.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,487.40 : 107,109.54 = 46,489.24 : x
  2. Step 2: Convert to fraction form
    71,487.40/107,109.54 = 46,489.24/x
  3. Step 3: Cross multiply
    71,487.40x = 107,109.54 × 46,489.24
  4. Step 4: Simplify right side
    71,487.40x = 4,979,441,111.35
  5. Step 5: Solve for x
    x = 4,979,441,111.35/71,487.40
  6. Step 6: Final answer
    x = 69,654.81

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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.