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Finding the Fourth Proportional to 75,308.80, 112,930.80 and 37,854.40

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Solution

The fourth proportional to 75,308.80, 112,930.80 and 37,854.40 is: 56,765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,308.80 : 112,930.80 = 37,854.40 : x
  2. Step 2: Convert to fraction form
    75,308.80/112,930.80 = 37,854.40/x
  3. Step 3: Cross multiply
    75,308.80x = 112,930.80 × 37,854.40
  4. Step 4: Simplify right side
    75,308.80x = 4,274,927,675.52
  5. Step 5: Solve for x
    x = 4,274,927,675.52/75,308.80
  6. Step 6: Final answer
    x = 56,765.31

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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.