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Finding the Fourth Proportional to 99,651.84, 137,376.60 and 78,394.16

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Solution

The fourth proportional to 99,651.84, 137,376.60 and 78,394.16 is: 108,071.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,651.84 : 137,376.60 = 78,394.16 : x
  2. Step 2: Convert to fraction form
    99,651.84/137,376.60 = 78,394.16/x
  3. Step 3: Cross multiply
    99,651.84x = 137,376.60 × 78,394.16
  4. Step 4: Simplify right side
    99,651.84x = 10,769,523,160.66
  5. Step 5: Solve for x
    x = 10,769,523,160.66/99,651.84
  6. Step 6: Final answer
    x = 108,071.49

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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.