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Finding the Fourth Proportional to 86,431, 129,668.37 and 24,101.50

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Solution

The fourth proportional to 86,431, 129,668.37 and 24,101.50 is: 36,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,431 : 129,668.37 = 24,101.50 : x
  2. Step 2: Convert to fraction form
    86,431/129,668.37 = 24,101.50/x
  3. Step 3: Cross multiply
    86,431x = 129,668.37 × 24,101.50
  4. Step 4: Simplify right side
    86,431x = 3,125,202,219.56
  5. Step 5: Solve for x
    x = 3,125,202,219.56/86,431
  6. Step 6: Final answer
    x = 36,158.35

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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.