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Finding the Fourth Proportional to 78,514.68, 108,347.16 and 42,704.64

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Solution

The fourth proportional to 78,514.68, 108,347.16 and 42,704.64 is: 58,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,514.68 : 108,347.16 = 42,704.64 : x
  2. Step 2: Convert to fraction form
    78,514.68/108,347.16 = 42,704.64/x
  3. Step 3: Cross multiply
    78,514.68x = 108,347.16 × 42,704.64
  4. Step 4: Simplify right side
    78,514.68x = 4,626,926,462.82
  5. Step 5: Solve for x
    x = 4,626,926,462.82/78,514.68
  6. Step 6: Final answer
    x = 58,930.72

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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.