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Finding the Fourth Proportional to 140,362.92, 193,701 and 76,700.76

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Solution

The fourth proportional to 140,362.92, 193,701 and 76,700.76 is: 105,847.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,362.92 : 193,701 = 76,700.76 : x
  2. Step 2: Convert to fraction form
    140,362.92/193,701 = 76,700.76/x
  3. Step 3: Cross multiply
    140,362.92x = 193,701 × 76,700.76
  4. Step 4: Simplify right side
    140,362.92x = 14,857,013,912.76
  5. Step 5: Solve for x
    x = 14,857,013,912.76/140,362.92
  6. Step 6: Final answer
    x = 105,847.14

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1.5x scale

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.