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Finding the Fourth Proportional to 102,303.92, 141,217.80 and 75,660.86

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Solution

The fourth proportional to 102,303.92, 141,217.80 and 75,660.86 is: 104,440.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,303.92 : 141,217.80 = 75,660.86 : x
  2. Step 2: Convert to fraction form
    102,303.92/141,217.80 = 75,660.86/x
  3. Step 3: Cross multiply
    102,303.92x = 141,217.80 × 75,660.86
  4. Step 4: Simplify right side
    102,303.92x = 10,684,660,195.31
  5. Step 5: Solve for x
    x = 10,684,660,195.31/102,303.92
  6. Step 6: Final answer
    x = 104,440.38

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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.