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Finding the Fourth Proportional to 123,490.92, 170,409.06 and 69,778.20

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Solution

The fourth proportional to 123,490.92, 170,409.06 and 69,778.20 is: 96,289.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,490.92 : 170,409.06 = 69,778.20 : x
  2. Step 2: Convert to fraction form
    123,490.92/170,409.06 = 69,778.20/x
  3. Step 3: Cross multiply
    123,490.92x = 170,409.06 × 69,778.20
  4. Step 4: Simplify right side
    123,490.92x = 11,890,837,470.49
  5. Step 5: Solve for x
    x = 11,890,837,470.49/123,490.92
  6. Step 6: Final answer
    x = 96,289.16

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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.