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Finding the Fourth Proportional to 86,436, 129,675.88 and 24,106.50

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Solution

The fourth proportional to 86,436, 129,675.88 and 24,106.50 is: 36,165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,436 : 129,675.88 = 24,106.50 : x
  2. Step 2: Convert to fraction form
    86,436/129,675.88 = 24,106.50/x
  3. Step 3: Cross multiply
    86,436x = 129,675.88 × 24,106.50
  4. Step 4: Simplify right side
    86,436x = 3,126,031,601.22
  5. Step 5: Solve for x
    x = 3,126,031,601.22/86,436
  6. Step 6: Final answer
    x = 36,165.85

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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.