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Finding the Fourth Proportional to 98,411.47, 135,873.19 and 75,710.41

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Solution

The fourth proportional to 98,411.47, 135,873.19 and 75,710.41 is: 104,530.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,411.47 : 135,873.19 = 75,710.41 : x
  2. Step 2: Convert to fraction form
    98,411.47/135,873.19 = 75,710.41/x
  3. Step 3: Cross multiply
    98,411.47x = 135,873.19 × 75,710.41
  4. Step 4: Simplify right side
    98,411.47x = 10,287,014,375.78
  5. Step 5: Solve for x
    x = 10,287,014,375.78/98,411.47
  6. Step 6: Final answer
    x = 104,530.65

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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.