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Finding the Fourth Proportional to 75,115.92, 103,656.60 and 43,289.40

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Solution

The fourth proportional to 75,115.92, 103,656.60 and 43,289.40 is: 59,737.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,115.92 : 103,656.60 = 43,289.40 : x
  2. Step 2: Convert to fraction form
    75,115.92/103,656.60 = 43,289.40/x
  3. Step 3: Cross multiply
    75,115.92x = 103,656.60 × 43,289.40
  4. Step 4: Simplify right side
    75,115.92x = 4,487,232,020.04
  5. Step 5: Solve for x
    x = 4,487,232,020.04/75,115.92
  6. Step 6: Final answer
    x = 59,737.43

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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.