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Finding the Fourth Proportional to 145,009.98, 217,489.05 and 92,262.78

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Solution

The fourth proportional to 145,009.98, 217,489.05 and 92,262.78 is: 138,377.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,009.98 : 217,489.05 = 92,262.78 : x
  2. Step 2: Convert to fraction form
    145,009.98/217,489.05 = 92,262.78/x
  3. Step 3: Cross multiply
    145,009.98x = 217,489.05 × 92,262.78
  4. Step 4: Simplify right side
    145,009.98x = 20,066,144,372.56
  5. Step 5: Solve for x
    x = 20,066,144,372.56/145,009.98
  6. Step 6: Final answer
    x = 138,377.68

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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.