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Finding the Fourth Proportional to 218,682, 301,758.48 and 128,033.28

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Solution

The fourth proportional to 218,682, 301,758.48 and 128,033.28 is: 176,672.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,682 : 301,758.48 = 128,033.28 : x
  2. Step 2: Convert to fraction form
    218,682/301,758.48 = 128,033.28/x
  3. Step 3: Cross multiply
    218,682x = 301,758.48 × 128,033.28
  4. Step 4: Simplify right side
    218,682x = 38,635,127,962.21
  5. Step 5: Solve for x
    x = 38,635,127,962.21/218,682
  6. Step 6: Final answer
    x = 176,672.65

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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.