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Finding the Fourth Proportional to 112,999, 169,522.80 and 38,121

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Solution

The fourth proportional to 112,999, 169,522.80 and 38,121 is: 57,189.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,999 : 169,522.80 = 38,121 : x
  2. Step 2: Convert to fraction form
    112,999/169,522.80 = 38,121/x
  3. Step 3: Cross multiply
    112,999x = 169,522.80 × 38,121
  4. Step 4: Simplify right side
    112,999x = 6,462,378,658.80
  5. Step 5: Solve for x
    x = 6,462,378,658.80/112,999
  6. Step 6: Final answer
    x = 57,189.70

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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.