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Finding the Fourth Proportional to 130.87, 180.59 and 71.86

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Solution

The fourth proportional to 130.87, 180.59 and 71.86 is: 99.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    130.87 : 180.59 = 71.86 : x
  2. Step 2: Convert to fraction form
    130.87/180.59 = 71.86/x
  3. Step 3: Cross multiply
    130.87x = 180.59 × 71.86
  4. Step 4: Simplify right side
    130.87x = 12,976.29
  5. Step 5: Solve for x
    x = 12,976.29/130.87
  6. Step 6: Final answer
    x = 99.15

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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.