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Finding the Fourth Proportional to 176,713.52, 243,864.72 and 100,208.09

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Solution

The fourth proportional to 176,713.52, 243,864.72 and 100,208.09 is: 138,287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,713.52 : 243,864.72 = 100,208.09 : x
  2. Step 2: Convert to fraction form
    176,713.52/243,864.72 = 100,208.09/x
  3. Step 3: Cross multiply
    176,713.52x = 243,864.72 × 100,208.09
  4. Step 4: Simplify right side
    176,713.52x = 24,437,218,419.25
  5. Step 5: Solve for x
    x = 24,437,218,419.25/176,713.52
  6. Step 6: Final answer
    x = 138,287.21

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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.