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Finding the Fourth Proportional to 92,468.72, 138,739.80 and 30,139.76

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Solution

The fourth proportional to 92,468.72, 138,739.80 and 30,139.76 is: 45,221.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,468.72 : 138,739.80 = 30,139.76 : x
  2. Step 2: Convert to fraction form
    92,468.72/138,739.80 = 30,139.76/x
  3. Step 3: Cross multiply
    92,468.72x = 138,739.80 × 30,139.76
  4. Step 4: Simplify right side
    92,468.72x = 4,181,584,274.45
  5. Step 5: Solve for x
    x = 4,181,584,274.45/92,468.72
  6. Step 6: Final answer
    x = 45,221.61

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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.