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Finding the Fourth Proportional to 125,102, 172,640.76 and 68,513.78

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Solution

The fourth proportional to 125,102, 172,640.76 and 68,513.78 is: 94,549.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,102 : 172,640.76 = 68,513.78 : x
  2. Step 2: Convert to fraction form
    125,102/172,640.76 = 68,513.78/x
  3. Step 3: Cross multiply
    125,102x = 172,640.76 × 68,513.78
  4. Step 4: Simplify right side
    125,102x = 11,828,271,049.67
  5. Step 5: Solve for x
    x = 11,828,271,049.67/125,102
  6. Step 6: Final answer
    x = 94,549.02

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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.