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Finding the Fourth Proportional to 61,258.68, 91,691.10 and 31,636.08

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Solution

The fourth proportional to 61,258.68, 91,691.10 and 31,636.08 is: 47,352.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,258.68 : 91,691.10 = 31,636.08 : x
  2. Step 2: Convert to fraction form
    61,258.68/91,691.10 = 31,636.08/x
  3. Step 3: Cross multiply
    61,258.68x = 91,691.10 × 31,636.08
  4. Step 4: Simplify right side
    61,258.68x = 2,900,746,974.89
  5. Step 5: Solve for x
    x = 2,900,746,974.89/61,258.68
  6. Step 6: Final answer
    x = 47,352.42

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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.