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Finding the Fourth Proportional to 100,378.84, 138,518.40 and 60,115

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Solution

The fourth proportional to 100,378.84, 138,518.40 and 60,115 is: 82,956.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,378.84 : 138,518.40 = 60,115 : x
  2. Step 2: Convert to fraction form
    100,378.84/138,518.40 = 60,115/x
  3. Step 3: Cross multiply
    100,378.84x = 138,518.40 × 60,115
  4. Step 4: Simplify right side
    100,378.84x = 8,327,033,616
  5. Step 5: Solve for x
    x = 8,327,033,616/100,378.84
  6. Step 6: Final answer
    x = 82,956.07

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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.