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Finding the Fourth Proportional to 84,878.98, 127,193.86 and 42,701.10

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Solution

The fourth proportional to 84,878.98, 127,193.86 and 42,701.10 is: 63,988.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,878.98 : 127,193.86 = 42,701.10 : x
  2. Step 2: Convert to fraction form
    84,878.98/127,193.86 = 42,701.10/x
  3. Step 3: Cross multiply
    84,878.98x = 127,193.86 × 42,701.10
  4. Step 4: Simplify right side
    84,878.98x = 5,431,317,735.25
  5. Step 5: Solve for x
    x = 5,431,317,735.25/84,878.98
  6. Step 6: Final answer
    x = 63,988.96

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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.