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Finding the Fourth Proportional to 229,339.82, 316,478.12 and 127,371.80

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Solution

The fourth proportional to 229,339.82, 316,478.12 and 127,371.80 is: 175,767.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,339.82 : 316,478.12 = 127,371.80 : x
  2. Step 2: Convert to fraction form
    229,339.82/316,478.12 = 127,371.80/x
  3. Step 3: Cross multiply
    229,339.82x = 316,478.12 × 127,371.80
  4. Step 4: Simplify right side
    229,339.82x = 40,310,387,805.02
  5. Step 5: Solve for x
    x = 40,310,387,805.02/229,339.82
  6. Step 6: Final answer
    x = 175,767.07

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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.