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Finding the Fourth Proportional to 99,129.96, 148,755.42 and 42,959.16

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Solution

The fourth proportional to 99,129.96, 148,755.42 and 42,959.16 is: 64,464.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,129.96 : 148,755.42 = 42,959.16 : x
  2. Step 2: Convert to fraction form
    99,129.96/148,755.42 = 42,959.16/x
  3. Step 3: Cross multiply
    99,129.96x = 148,755.42 × 42,959.16
  4. Step 4: Simplify right side
    99,129.96x = 6,390,407,888.65
  5. Step 5: Solve for x
    x = 6,390,407,888.65/99,129.96
  6. Step 6: Final answer
    x = 64,464.95

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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.