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Finding the Fourth Proportional to 98,210.78, 135,582.12 and 76,358.60

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Solution

The fourth proportional to 98,210.78, 135,582.12 and 76,358.60 is: 105,414.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,210.78 : 135,582.12 = 76,358.60 : x
  2. Step 2: Convert to fraction form
    98,210.78/135,582.12 = 76,358.60/x
  3. Step 3: Cross multiply
    98,210.78x = 135,582.12 × 76,358.60
  4. Step 4: Simplify right side
    98,210.78x = 10,352,860,868.23
  5. Step 5: Solve for x
    x = 10,352,860,868.23/98,210.78
  6. Step 6: Final answer
    x = 105,414.71

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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.