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Finding the Fourth Proportional to 97,880.80, 135,055.92 and 67,618.48

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Solution

The fourth proportional to 97,880.80, 135,055.92 and 67,618.48 is: 93,299.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,880.80 : 135,055.92 = 67,618.48 : x
  2. Step 2: Convert to fraction form
    97,880.80/135,055.92 = 67,618.48/x
  3. Step 3: Cross multiply
    97,880.80x = 135,055.92 × 67,618.48
  4. Step 4: Simplify right side
    97,880.80x = 9,132,276,025.40
  5. Step 5: Solve for x
    x = 9,132,276,025.40/97,880.80
  6. Step 6: Final answer
    x = 93,299.97

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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.