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Finding the Fourth Proportional to 215,463.74, 322,758.80 and 99,895.90

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Solution

The fourth proportional to 215,463.74, 322,758.80 and 99,895.90 is: 149,641.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,463.74 : 322,758.80 = 99,895.90 : x
  2. Step 2: Convert to fraction form
    215,463.74/322,758.80 = 99,895.90/x
  3. Step 3: Cross multiply
    215,463.74x = 322,758.80 × 99,895.90
  4. Step 4: Simplify right side
    215,463.74x = 32,242,279,502.54
  5. Step 5: Solve for x
    x = 32,242,279,502.54/215,463.74
  6. Step 6: Final answer
    x = 149,641.33

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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.