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Finding the Fourth Proportional to 101,916.06, 140,657.12 and 61,630.10

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Solution

The fourth proportional to 101,916.06, 140,657.12 and 61,630.10 is: 85,057.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,916.06 : 140,657.12 = 61,630.10 : x
  2. Step 2: Convert to fraction form
    101,916.06/140,657.12 = 61,630.10/x
  3. Step 3: Cross multiply
    101,916.06x = 140,657.12 × 61,630.10
  4. Step 4: Simplify right side
    101,916.06x = 8,668,711,359.88
  5. Step 5: Solve for x
    x = 8,668,711,359.88/101,916.06
  6. Step 6: Final answer
    x = 85,057.36

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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.