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Finding the Fourth Proportional to 56,308.80, 77,704.92 and 30,815.07

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Solution

The fourth proportional to 56,308.80, 77,704.92 and 30,815.07 is: 42,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,308.80 : 77,704.92 = 30,815.07 : x
  2. Step 2: Convert to fraction form
    56,308.80/77,704.92 = 30,815.07/x
  3. Step 3: Cross multiply
    56,308.80x = 77,704.92 × 30,815.07
  4. Step 4: Simplify right side
    56,308.80x = 2,394,482,549.14
  5. Step 5: Solve for x
    x = 2,394,482,549.14/56,308.80
  6. Step 6: Final answer
    x = 42,524.13

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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.