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Finding the Fourth Proportional to 61,781.50, 85,259.78 and 34,922.40

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Solution

The fourth proportional to 61,781.50, 85,259.78 and 34,922.40 is: 48,193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,781.50 : 85,259.78 = 34,922.40 : x
  2. Step 2: Convert to fraction form
    61,781.50/85,259.78 = 34,922.40/x
  3. Step 3: Cross multiply
    61,781.50x = 85,259.78 × 34,922.40
  4. Step 4: Simplify right side
    61,781.50x = 2,977,476,141.07
  5. Step 5: Solve for x
    x = 2,977,476,141.07/61,781.50
  6. Step 6: Final answer
    x = 48,193.65

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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.