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Finding the Fourth Proportional to 177,805.86, 266,917.16 and 140,391.15

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Solution

The fourth proportional to 177,805.86, 266,917.16 and 140,391.15 is: 210,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,805.86 : 266,917.16 = 140,391.15 : x
  2. Step 2: Convert to fraction form
    177,805.86/266,917.16 = 140,391.15/x
  3. Step 3: Cross multiply
    177,805.86x = 266,917.16 × 140,391.15
  4. Step 4: Simplify right side
    177,805.86x = 37,472,807,047.13
  5. Step 5: Solve for x
    x = 37,472,807,047.13/177,805.86
  6. Step 6: Final answer
    x = 210,751.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.