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Finding the Fourth Proportional to 61,390.26, 84,709.80 and 34,531.74

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Solution

The fourth proportional to 61,390.26, 84,709.80 and 34,531.74 is: 47,648.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,390.26 : 84,709.80 = 34,531.74 : x
  2. Step 2: Convert to fraction form
    61,390.26/84,709.80 = 34,531.74/x
  3. Step 3: Cross multiply
    61,390.26x = 84,709.80 × 34,531.74
  4. Step 4: Simplify right side
    61,390.26x = 2,925,176,789.05
  5. Step 5: Solve for x
    x = 2,925,176,789.05/61,390.26
  6. Step 6: Final answer
    x = 47,648.87

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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.