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Finding the Fourth Proportional to 99,705.20, 149,557.80 and 86,874.80

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Solution

The fourth proportional to 99,705.20, 149,557.80 and 86,874.80 is: 130,312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,705.20 : 149,557.80 = 86,874.80 : x
  2. Step 2: Convert to fraction form
    99,705.20/149,557.80 = 86,874.80/x
  3. Step 3: Cross multiply
    99,705.20x = 149,557.80 × 86,874.80
  4. Step 4: Simplify right side
    99,705.20x = 12,992,803,963.44
  5. Step 5: Solve for x
    x = 12,992,803,963.44/99,705.20
  6. Step 6: Final answer
    x = 130,312.20

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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.