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Finding the Fourth Proportional to 229,123.32, 316,189.48 and 127,164.16

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Solution

The fourth proportional to 229,123.32, 316,189.48 and 127,164.16 is: 175,486.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,123.32 : 316,189.48 = 127,164.16 : x
  2. Step 2: Convert to fraction form
    229,123.32/316,189.48 = 127,164.16/x
  3. Step 3: Cross multiply
    229,123.32x = 316,189.48 × 127,164.16
  4. Step 4: Simplify right side
    229,123.32x = 40,207,969,625.04
  5. Step 5: Solve for x
    x = 40,207,969,625.04/229,123.32
  6. Step 6: Final answer
    x = 175,486.15

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1.5x scale

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.