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Finding the Fourth Proportional to 176,210.82, 243,167.31 and 99,728.55

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Solution

The fourth proportional to 176,210.82, 243,167.31 and 99,728.55 is: 137,623.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,210.82 : 243,167.31 = 99,728.55 : x
  2. Step 2: Convert to fraction form
    176,210.82/243,167.31 = 99,728.55/x
  3. Step 3: Cross multiply
    176,210.82x = 243,167.31 × 99,728.55
  4. Step 4: Simplify right side
    176,210.82x = 24,250,723,233.70
  5. Step 5: Solve for x
    x = 24,250,723,233.70/176,210.82
  6. Step 6: Final answer
    x = 137,623.35

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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.