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Finding the Fourth Proportional to 229,257.12, 316,375 and 128,655.12

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Solution

The fourth proportional to 229,257.12, 316,375 and 128,655.12 is: 177,544.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,257.12 : 316,375 = 128,655.12 : x
  2. Step 2: Convert to fraction form
    229,257.12/316,375 = 128,655.12/x
  3. Step 3: Cross multiply
    229,257.12x = 316,375 × 128,655.12
  4. Step 4: Simplify right side
    229,257.12x = 40,703,263,590
  5. Step 5: Solve for x
    x = 40,703,263,590/229,257.12
  6. Step 6: Final answer
    x = 177,544.16

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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.