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Finding the Fourth Proportional to 229,302, 316,438.92 and 128,702.16

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Solution

The fourth proportional to 229,302, 316,438.92 and 128,702.16 is: 177,610.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,302 : 316,438.92 = 128,702.16 : x
  2. Step 2: Convert to fraction form
    229,302/316,438.92 = 128,702.16/x
  3. Step 3: Cross multiply
    229,302x = 316,438.92 × 128,702.16
  4. Step 4: Simplify right side
    229,302x = 40,726,372,512.07
  5. Step 5: Solve for x
    x = 40,726,372,512.07/229,302
  6. Step 6: Final answer
    x = 177,610.19

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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.