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Finding the Fourth Proportional to 229,113.14, 316,167.86 and 127,143.05

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Solution

The fourth proportional to 229,113.14, 316,167.86 and 127,143.05 is: 175,452.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,113.14 : 316,167.86 = 127,143.05 : x
  2. Step 2: Convert to fraction form
    229,113.14/316,167.86 = 127,143.05/x
  3. Step 3: Cross multiply
    229,113.14x = 316,167.86 × 127,143.05
  4. Step 4: Simplify right side
    229,113.14x = 40,198,543,815.82
  5. Step 5: Solve for x
    x = 40,198,543,815.82/229,113.14
  6. Step 6: Final answer
    x = 175,452.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.