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Finding the Fourth Proportional to 122,138.91, 183,234.69 and 37,897.29

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Solution

The fourth proportional to 122,138.91, 183,234.69 and 37,897.29 is: 56,854.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,138.91 : 183,234.69 = 37,897.29 : x
  2. Step 2: Convert to fraction form
    122,138.91/183,234.69 = 37,897.29/x
  3. Step 3: Cross multiply
    122,138.91x = 183,234.69 × 37,897.29
  4. Step 4: Simplify right side
    122,138.91x = 6,944,098,184.99
  5. Step 5: Solve for x
    x = 6,944,098,184.99/122,138.91
  6. Step 6: Final answer
    x = 56,854.10

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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.