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Finding the Fourth Proportional to 122,117.80, 183,176.70 and 99,956.20

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Solution

The fourth proportional to 122,117.80, 183,176.70 and 99,956.20 is: 149,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,117.80 : 183,176.70 = 99,956.20 : x
  2. Step 2: Convert to fraction form
    122,117.80/183,176.70 = 99,956.20/x
  3. Step 3: Cross multiply
    122,117.80x = 183,176.70 × 99,956.20
  4. Step 4: Simplify right side
    122,117.80x = 18,309,646,860.54
  5. Step 5: Solve for x
    x = 18,309,646,860.54/122,117.80
  6. Step 6: Final answer
    x = 149,934.30

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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.