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Finding the Fourth Proportional to 267,872, 369,663.36 and 148,640

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Solution

The fourth proportional to 267,872, 369,663.36 and 148,640 is: 205,123.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,872 : 369,663.36 = 148,640 : x
  2. Step 2: Convert to fraction form
    267,872/369,663.36 = 148,640/x
  3. Step 3: Cross multiply
    267,872x = 369,663.36 × 148,640
  4. Step 4: Simplify right side
    267,872x = 54,946,761,830.40
  5. Step 5: Solve for x
    x = 54,946,761,830.40/267,872
  6. Step 6: Final answer
    x = 205,123.20

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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.