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Finding the Fourth Proportional to 99,678.92, 149,616.78 and 43,557.76

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Solution

The fourth proportional to 99,678.92, 149,616.78 and 43,557.76 is: 65,379.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,678.92 : 149,616.78 = 43,557.76 : x
  2. Step 2: Convert to fraction form
    99,678.92/149,616.78 = 43,557.76/x
  3. Step 3: Cross multiply
    99,678.92x = 149,616.78 × 43,557.76
  4. Step 4: Simplify right side
    99,678.92x = 6,516,971,421.17
  5. Step 5: Solve for x
    x = 6,516,971,421.17/99,678.92
  6. Step 6: Final answer
    x = 65,379.64

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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.