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Finding the Fourth Proportional to 149,042.78, 223,564.14 and 38,234.78

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Solution

The fourth proportional to 149,042.78, 223,564.14 and 38,234.78 is: 57,352.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,042.78 : 223,564.14 = 38,234.78 : x
  2. Step 2: Convert to fraction form
    149,042.78/223,564.14 = 38,234.78/x
  3. Step 3: Cross multiply
    149,042.78x = 223,564.14 × 38,234.78
  4. Step 4: Simplify right side
    149,042.78x = 8,547,925,708.79
  5. Step 5: Solve for x
    x = 8,547,925,708.79/149,042.78
  6. Step 6: Final answer
    x = 57,352.16

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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.