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Finding the Fourth Proportional to 140,407.92, 193,763.02 and 76,745.71

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Solution

The fourth proportional to 140,407.92, 193,763.02 and 76,745.71 is: 105,909.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,407.92 : 193,763.02 = 76,745.71 : x
  2. Step 2: Convert to fraction form
    140,407.92/193,763.02 = 76,745.71/x
  3. Step 3: Cross multiply
    140,407.92x = 193,763.02 × 76,745.71
  4. Step 4: Simplify right side
    140,407.92x = 14,870,480,541.64
  5. Step 5: Solve for x
    x = 14,870,480,541.64/140,407.92
  6. Step 6: Final answer
    x = 105,909.13

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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.