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Finding the Fourth Proportional to 223,357.55, 308,108.66 and 137,256.80

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Solution

The fourth proportional to 223,357.55, 308,108.66 and 137,256.80 is: 189,337.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,357.55 : 308,108.66 = 137,256.80 : x
  2. Step 2: Convert to fraction form
    223,357.55/308,108.66 = 137,256.80/x
  3. Step 3: Cross multiply
    223,357.55x = 308,108.66 × 137,256.80
  4. Step 4: Simplify right side
    223,357.55x = 42,290,006,497.06
  5. Step 5: Solve for x
    x = 42,290,006,497.06/223,357.55
  6. Step 6: Final answer
    x = 189,337.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.