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Finding the Fourth Proportional to 122,138.68, 183,234.12 and 37,897

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Solution

The fourth proportional to 122,138.68, 183,234.12 and 37,897 is: 56,853.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,138.68 : 183,234.12 = 37,897 : x
  2. Step 2: Convert to fraction form
    122,138.68/183,234.12 = 37,897/x
  3. Step 3: Cross multiply
    122,138.68x = 183,234.12 × 37,897
  4. Step 4: Simplify right side
    122,138.68x = 6,944,023,445.64
  5. Step 5: Solve for x
    x = 6,944,023,445.64/122,138.68
  6. Step 6: Final answer
    x = 56,853.60

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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.