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Finding the Fourth Proportional to 229,707.95, 316,997.23 and 127,731.22

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Solution

The fourth proportional to 229,707.95, 316,997.23 and 127,731.22 is: 176,269.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,707.95 : 316,997.23 = 127,731.22 : x
  2. Step 2: Convert to fraction form
    229,707.95/316,997.23 = 127,731.22/x
  3. Step 3: Cross multiply
    229,707.95x = 316,997.23 × 127,731.22
  4. Step 4: Simplify right side
    229,707.95x = 40,490,442,924.52
  5. Step 5: Solve for x
    x = 40,490,442,924.52/229,707.95
  6. Step 6: Final answer
    x = 176,269.23

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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.