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Finding the Fourth Proportional to 275,643.60, 413,465.40 and 88,655.10

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Solution

The fourth proportional to 275,643.60, 413,465.40 and 88,655.10 is: 132,982.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,643.60 : 413,465.40 = 88,655.10 : x
  2. Step 2: Convert to fraction form
    275,643.60/413,465.40 = 88,655.10/x
  3. Step 3: Cross multiply
    275,643.60x = 413,465.40 × 88,655.10
  4. Step 4: Simplify right side
    275,643.60x = 36,655,816,383.54
  5. Step 5: Solve for x
    x = 36,655,816,383.54/275,643.60
  6. Step 6: Final answer
    x = 132,982.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.