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Finding the Fourth Proportional to 72,657.60, 109,002.60 and 56,911.20

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Solution

The fourth proportional to 72,657.60, 109,002.60 and 56,911.20 is: 85,379.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,657.60 : 109,002.60 = 56,911.20 : x
  2. Step 2: Convert to fraction form
    72,657.60/109,002.60 = 56,911.20/x
  3. Step 3: Cross multiply
    72,657.60x = 109,002.60 × 56,911.20
  4. Step 4: Simplify right side
    72,657.60x = 6,203,468,769.12
  5. Step 5: Solve for x
    x = 6,203,468,769.12/72,657.60
  6. Step 6: Final answer
    x = 85,379.49

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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.