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Finding the Fourth Proportional to 128,394.12, 177,128.16 and 77,377.86

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Solution

The fourth proportional to 128,394.12, 177,128.16 and 77,377.86 is: 106,747.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,394.12 : 177,128.16 = 77,377.86 : x
  2. Step 2: Convert to fraction form
    128,394.12/177,128.16 = 77,377.86/x
  3. Step 3: Cross multiply
    128,394.12x = 177,128.16 × 77,377.86
  4. Step 4: Simplify right side
    128,394.12x = 13,705,797,966.54
  5. Step 5: Solve for x
    x = 13,705,797,966.54/128,394.12
  6. Step 6: Final answer
    x = 106,747.86

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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.