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Finding the Fourth Proportional to 61,782.72, 92,602.38 and 28,432.76

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Solution

The fourth proportional to 61,782.72, 92,602.38 and 28,432.76 is: 42,616.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,782.72 : 92,602.38 = 28,432.76 : x
  2. Step 2: Convert to fraction form
    61,782.72/92,602.38 = 28,432.76/x
  3. Step 3: Cross multiply
    61,782.72x = 92,602.38 × 28,432.76
  4. Step 4: Simplify right side
    61,782.72x = 2,632,941,245.97
  5. Step 5: Solve for x
    x = 2,632,941,245.97/61,782.72
  6. Step 6: Final answer
    x = 42,616.14

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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.