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Finding the Fourth Proportional to 229,730.87, 316,982.13 and 134,219.12

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Solution

The fourth proportional to 229,730.87, 316,982.13 and 134,219.12 is: 185,195.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,730.87 : 316,982.13 = 134,219.12 : x
  2. Step 2: Convert to fraction form
    229,730.87/316,982.13 = 134,219.12/x
  3. Step 3: Cross multiply
    229,730.87x = 316,982.13 × 134,219.12
  4. Step 4: Simplify right side
    229,730.87x = 42,545,060,959.42
  5. Step 5: Solve for x
    x = 42,545,060,959.42/229,730.87
  6. Step 6: Final answer
    x = 185,195.23

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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.