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Finding the Fourth Proportional to 72,413, 108,520.86 and 37,278.44

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Solution

The fourth proportional to 72,413, 108,520.86 and 37,278.44 is: 55,866.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,413 : 108,520.86 = 37,278.44 : x
  2. Step 2: Convert to fraction form
    72,413/108,520.86 = 37,278.44/x
  3. Step 3: Cross multiply
    72,413x = 108,520.86 × 37,278.44
  4. Step 4: Simplify right side
    72,413x = 4,045,488,368.26
  5. Step 5: Solve for x
    x = 4,045,488,368.26/72,413
  6. Step 6: Final answer
    x = 55,866.88

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1.5x scale

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.