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Finding the Fourth Proportional to 85,398.22, 127,925.97 and 78,422.59

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Solution

The fourth proportional to 85,398.22, 127,925.97 and 78,422.59 is: 117,476.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,398.22 : 127,925.97 = 78,422.59 : x
  2. Step 2: Convert to fraction form
    85,398.22/127,925.97 = 78,422.59/x
  3. Step 3: Cross multiply
    85,398.22x = 127,925.97 × 78,422.59
  4. Step 4: Simplify right side
    85,398.22x = 10,032,285,895.66
  5. Step 5: Solve for x
    x = 10,032,285,895.66/85,398.22
  6. Step 6: Final answer
    x = 117,476.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.