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Finding the Fourth Proportional to 102,910.32, 154,623.87 and 65,486.70

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Solution

The fourth proportional to 102,910.32, 154,623.87 and 65,486.70 is: 98,394.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,910.32 : 154,623.87 = 65,486.70 : x
  2. Step 2: Convert to fraction form
    102,910.32/154,623.87 = 65,486.70/x
  3. Step 3: Cross multiply
    102,910.32x = 154,623.87 × 65,486.70
  4. Step 4: Simplify right side
    102,910.32x = 10,125,806,987.53
  5. Step 5: Solve for x
    x = 10,125,806,987.53/102,910.32
  6. Step 6: Final answer
    x = 98,394.48

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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.