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Finding the Fourth Proportional to 149,486.81, 224,231.03 and 38,678.81

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Solution

The fourth proportional to 149,486.81, 224,231.03 and 38,678.81 is: 58,018.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,486.81 : 224,231.03 = 38,678.81 : x
  2. Step 2: Convert to fraction form
    149,486.81/224,231.03 = 38,678.81/x
  3. Step 3: Cross multiply
    149,486.81x = 224,231.03 × 38,678.81
  4. Step 4: Simplify right side
    149,486.81x = 8,672,989,917.70
  5. Step 5: Solve for x
    x = 8,672,989,917.70/149,486.81
  6. Step 6: Final answer
    x = 58,018.43

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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.