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Finding the Fourth Proportional to 107,640.96, 148,516.92 and 65,184

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Solution

The fourth proportional to 107,640.96, 148,516.92 and 65,184 is: 89,937.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,640.96 : 148,516.92 = 65,184 : x
  2. Step 2: Convert to fraction form
    107,640.96/148,516.92 = 65,184/x
  3. Step 3: Cross multiply
    107,640.96x = 148,516.92 × 65,184
  4. Step 4: Simplify right side
    107,640.96x = 9,680,926,913.28
  5. Step 5: Solve for x
    x = 9,680,926,913.28/107,640.96
  6. Step 6: Final answer
    x = 89,937.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.