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Finding the Fourth Proportional to 61,177.78, 84,432.74 and 34,315.21

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Solution

The fourth proportional to 61,177.78, 84,432.74 and 34,315.21 is: 47,359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,177.78 : 84,432.74 = 34,315.21 : x
  2. Step 2: Convert to fraction form
    61,177.78/84,432.74 = 34,315.21/x
  3. Step 3: Cross multiply
    61,177.78x = 84,432.74 × 34,315.21
  4. Step 4: Simplify right side
    61,177.78x = 2,897,327,203.98
  5. Step 5: Solve for x
    x = 2,897,327,203.98/61,177.78
  6. Step 6: Final answer
    x = 47,359.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.