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Finding the Fourth Proportional to 86,815.80, 130,223.70 and 24,478.20

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Solution

The fourth proportional to 86,815.80, 130,223.70 and 24,478.20 is: 36,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,815.80 : 130,223.70 = 24,478.20 : x
  2. Step 2: Convert to fraction form
    86,815.80/130,223.70 = 24,478.20/x
  3. Step 3: Cross multiply
    86,815.80x = 130,223.70 × 24,478.20
  4. Step 4: Simplify right side
    86,815.80x = 3,187,641,773.34
  5. Step 5: Solve for x
    x = 3,187,641,773.34/86,815.80
  6. Step 6: Final answer
    x = 36,717.30

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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.