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Finding the Fourth Proportional to 229,437.56, 316,575.84 and 138,775.78

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Solution

The fourth proportional to 229,437.56, 316,575.84 and 138,775.78 is: 191,481.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,437.56 : 316,575.84 = 138,775.78 : x
  2. Step 2: Convert to fraction form
    229,437.56/316,575.84 = 138,775.78/x
  3. Step 3: Cross multiply
    229,437.56x = 316,575.84 × 138,775.78
  4. Step 4: Simplify right side
    229,437.56x = 43,933,060,041.28
  5. Step 5: Solve for x
    x = 43,933,060,041.28/229,437.56
  6. Step 6: Final answer
    x = 191,481.55

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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.