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Finding the Fourth Proportional to 86,691, 130,036.50 and 24,361.50

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Solution

The fourth proportional to 86,691, 130,036.50 and 24,361.50 is: 36,542.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,691 : 130,036.50 = 24,361.50 : x
  2. Step 2: Convert to fraction form
    86,691/130,036.50 = 24,361.50/x
  3. Step 3: Cross multiply
    86,691x = 130,036.50 × 24,361.50
  4. Step 4: Simplify right side
    86,691x = 3,167,884,194.75
  5. Step 5: Solve for x
    x = 3,167,884,194.75/86,691
  6. Step 6: Final answer
    x = 36,542.25

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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.