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Finding the Fourth Proportional to 172,915.64, 238,623.10 and 96,434.82

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Solution

The fourth proportional to 172,915.64, 238,623.10 and 96,434.82 is: 133,079.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,915.64 : 238,623.10 = 96,434.82 : x
  2. Step 2: Convert to fraction form
    172,915.64/238,623.10 = 96,434.82/x
  3. Step 3: Cross multiply
    172,915.64x = 238,623.10 × 96,434.82
  4. Step 4: Simplify right side
    172,915.64x = 23,011,575,696.34
  5. Step 5: Solve for x
    x = 23,011,575,696.34/172,915.64
  6. Step 6: Final answer
    x = 133,079.78

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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.