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Finding the Fourth Proportional to 61,780.50, 85,258.40 and 34,921.40

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Solution

The fourth proportional to 61,780.50, 85,258.40 and 34,921.40 is: 48,192.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,780.50 : 85,258.40 = 34,921.40 : x
  2. Step 2: Convert to fraction form
    61,780.50/85,258.40 = 34,921.40/x
  3. Step 3: Cross multiply
    61,780.50x = 85,258.40 × 34,921.40
  4. Step 4: Simplify right side
    61,780.50x = 2,977,342,689.76
  5. Step 5: Solve for x
    x = 2,977,342,689.76/61,780.50
  6. Step 6: Final answer
    x = 48,192.27

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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.