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Finding the Fourth Proportional to 158,387.16, 218,491.38 and 97,938.48

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Solution

The fourth proportional to 158,387.16, 218,491.38 and 97,938.48 is: 135,103.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,387.16 : 218,491.38 = 97,938.48 : x
  2. Step 2: Convert to fraction form
    158,387.16/218,491.38 = 97,938.48/x
  3. Step 3: Cross multiply
    158,387.16x = 218,491.38 × 97,938.48
  4. Step 4: Simplify right side
    158,387.16x = 21,398,713,650.30
  5. Step 5: Solve for x
    x = 21,398,713,650.30/158,387.16
  6. Step 6: Final answer
    x = 135,103.84

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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.