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Finding the Fourth Proportional to 229,476.16, 316,675.20 and 128,872

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Solution

The fourth proportional to 229,476.16, 316,675.20 and 128,872 is: 177,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,476.16 : 316,675.20 = 128,872 : x
  2. Step 2: Convert to fraction form
    229,476.16/316,675.20 = 128,872/x
  3. Step 3: Cross multiply
    229,476.16x = 316,675.20 × 128,872
  4. Step 4: Simplify right side
    229,476.16x = 40,810,566,374.40
  5. Step 5: Solve for x
    x = 40,810,566,374.40/229,476.16
  6. Step 6: Final answer
    x = 177,842.29

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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.