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Finding the Fourth Proportional to 229,572.74, 316,836.08 and 138,978.66

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Solution

The fourth proportional to 229,572.74, 316,836.08 and 138,978.66 is: 191,806.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,572.74 : 316,836.08 = 138,978.66 : x
  2. Step 2: Convert to fraction form
    229,572.74/316,836.08 = 138,978.66/x
  3. Step 3: Cross multiply
    229,572.74x = 316,836.08 × 138,978.66
  4. Step 4: Simplify right side
    229,572.74x = 44,033,453,838.05
  5. Step 5: Solve for x
    x = 44,033,453,838.05/229,572.74
  6. Step 6: Final answer
    x = 191,806.11

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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.