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Finding the Fourth Proportional to 131,145.98, 180,996.81 and 74,565.86

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Solution

The fourth proportional to 131,145.98, 180,996.81 and 74,565.86 is: 102,909.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,145.98 : 180,996.81 = 74,565.86 : x
  2. Step 2: Convert to fraction form
    131,145.98/180,996.81 = 74,565.86/x
  3. Step 3: Cross multiply
    131,145.98x = 180,996.81 × 74,565.86
  4. Step 4: Simplify right side
    131,145.98x = 13,496,182,794.91
  5. Step 5: Solve for x
    x = 13,496,182,794.91/131,145.98
  6. Step 6: Final answer
    x = 102,909.62

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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.