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Finding the Fourth Proportional to 229,510, 316,723.92 and 128,908

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Solution

The fourth proportional to 229,510, 316,723.92 and 128,908 is: 177,893.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,510 : 316,723.92 = 128,908 : x
  2. Step 2: Convert to fraction form
    229,510/316,723.92 = 128,908/x
  3. Step 3: Cross multiply
    229,510x = 316,723.92 × 128,908
  4. Step 4: Simplify right side
    229,510x = 40,828,247,079.36
  5. Step 5: Solve for x
    x = 40,828,247,079.36/229,510
  6. Step 6: Final answer
    x = 177,893.11

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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.