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Finding the Fourth Proportional to 149,666.52, 206,565.48 and 142,940.28

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Solution

The fourth proportional to 149,666.52, 206,565.48 and 142,940.28 is: 197,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,666.52 : 206,565.48 = 142,940.28 : x
  2. Step 2: Convert to fraction form
    149,666.52/206,565.48 = 142,940.28/x
  3. Step 3: Cross multiply
    149,666.52x = 206,565.48 × 142,940.28
  4. Step 4: Simplify right side
    149,666.52x = 29,526,527,549.53
  5. Step 5: Solve for x
    x = 29,526,527,549.53/149,666.52
  6. Step 6: Final answer
    x = 197,282.11

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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.