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Finding the Fourth Proportional to 103,257.17, 154,867.32 and 65,705.77

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Solution

The fourth proportional to 103,257.17, 154,867.32 and 65,705.77 is: 98,546.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,257.17 : 154,867.32 = 65,705.77 : x
  2. Step 2: Convert to fraction form
    103,257.17/154,867.32 = 65,705.77/x
  3. Step 3: Cross multiply
    103,257.17x = 154,867.32 × 65,705.77
  4. Step 4: Simplify right side
    103,257.17x = 10,175,676,508.44
  5. Step 5: Solve for x
    x = 10,175,676,508.44/103,257.17
  6. Step 6: Final answer
    x = 98,546.92

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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.