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Finding the Fourth Proportional to 61,354.38, 91,965.80 and 31,742.40

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Solution

The fourth proportional to 61,354.38, 91,965.80 and 31,742.40 is: 47,579.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,354.38 : 91,965.80 = 31,742.40 : x
  2. Step 2: Convert to fraction form
    61,354.38/91,965.80 = 31,742.40/x
  3. Step 3: Cross multiply
    61,354.38x = 91,965.80 × 31,742.40
  4. Step 4: Simplify right side
    61,354.38x = 2,919,215,209.92
  5. Step 5: Solve for x
    x = 2,919,215,209.92/61,354.38
  6. Step 6: Final answer
    x = 47,579.57

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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.