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Finding the Fourth Proportional to 203,658.30, 305,487.45 and 98,565.66

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Solution

The fourth proportional to 203,658.30, 305,487.45 and 98,565.66 is: 147,848.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,658.30 : 305,487.45 = 98,565.66 : x
  2. Step 2: Convert to fraction form
    203,658.30/305,487.45 = 98,565.66/x
  3. Step 3: Cross multiply
    203,658.30x = 305,487.45 × 98,565.66
  4. Step 4: Simplify right side
    203,658.30x = 30,110,572,130.97
  5. Step 5: Solve for x
    x = 30,110,572,130.97/203,658.30
  6. Step 6: Final answer
    x = 147,848.49

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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.