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Finding the Fourth Proportional to 60,419.78, 90,638.89 and 30,821.47

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Solution

The fourth proportional to 60,419.78, 90,638.89 and 30,821.47 is: 46,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,419.78 : 90,638.89 = 30,821.47 : x
  2. Step 2: Convert to fraction form
    60,419.78/90,638.89 = 30,821.47/x
  3. Step 3: Cross multiply
    60,419.78x = 90,638.89 × 30,821.47
  4. Step 4: Simplify right side
    60,419.78x = 2,793,623,298.72
  5. Step 5: Solve for x
    x = 2,793,623,298.72/60,419.78
  6. Step 6: Final answer
    x = 46,236.90

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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.