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Finding the Fourth Proportional to 86,722.76, 130,084.14 and 31,318.76

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Solution

The fourth proportional to 86,722.76, 130,084.14 and 31,318.76 is: 46,978.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,722.76 : 130,084.14 = 31,318.76 : x
  2. Step 2: Convert to fraction form
    86,722.76/130,084.14 = 31,318.76/x
  3. Step 3: Cross multiply
    86,722.76x = 130,084.14 × 31,318.76
  4. Step 4: Simplify right side
    86,722.76x = 4,074,073,960.47
  5. Step 5: Solve for x
    x = 4,074,073,960.47/86,722.76
  6. Step 6: Final answer
    x = 46,978.14

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Similar ratio
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1.5x scale

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.