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Finding the Fourth Proportional to 98,603.84, 135,787.16 and 85,677.30

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Solution

The fourth proportional to 98,603.84, 135,787.16 and 85,677.30 is: 117,986.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,603.84 : 135,787.16 = 85,677.30 : x
  2. Step 2: Convert to fraction form
    98,603.84/135,787.16 = 85,677.30/x
  3. Step 3: Cross multiply
    98,603.84x = 135,787.16 × 85,677.30
  4. Step 4: Simplify right side
    98,603.84x = 11,633,876,815.08
  5. Step 5: Solve for x
    x = 11,633,876,815.08/98,603.84
  6. Step 6: Final answer
    x = 117,986.05

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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.