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Finding the Fourth Proportional to 208,399.68, 312,613.92 and 83,740.72

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Solution

The fourth proportional to 208,399.68, 312,613.92 and 83,740.72 is: 125,616.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,399.68 : 312,613.92 = 83,740.72 : x
  2. Step 2: Convert to fraction form
    208,399.68/312,613.92 = 83,740.72/x
  3. Step 3: Cross multiply
    208,399.68x = 312,613.92 × 83,740.72
  4. Step 4: Simplify right side
    208,399.68x = 26,178,514,742.82
  5. Step 5: Solve for x
    x = 26,178,514,742.82/208,399.68
  6. Step 6: Final answer
    x = 125,616.87

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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.