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Finding the Fourth Proportional to 229,074, 316,122.30 and 128,472

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Solution

The fourth proportional to 229,074, 316,122.30 and 128,472 is: 177,291.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,074 : 316,122.30 = 128,472 : x
  2. Step 2: Convert to fraction form
    229,074/316,122.30 = 128,472/x
  3. Step 3: Cross multiply
    229,074x = 316,122.30 × 128,472
  4. Step 4: Simplify right side
    229,074x = 40,612,864,125.60
  5. Step 5: Solve for x
    x = 40,612,864,125.60/229,074
  6. Step 6: Final answer
    x = 177,291.46

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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.