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Finding the Fourth Proportional to 198,056.79, 297,064.13 and 55,898.55

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Solution

The fourth proportional to 198,056.79, 297,064.13 and 55,898.55 is: 83,841.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,056.79 : 297,064.13 = 55,898.55 : x
  2. Step 2: Convert to fraction form
    198,056.79/297,064.13 = 55,898.55/x
  3. Step 3: Cross multiply
    198,056.79x = 297,064.13 × 55,898.55
  4. Step 4: Simplify right side
    198,056.79x = 16,605,453,844.52
  5. Step 5: Solve for x
    x = 16,605,453,844.52/198,056.79
  6. Step 6: Final answer
    x = 83,841.88

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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.