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Finding the Fourth Proportional to 200,041.34, 300,062.37 and 81,712.70

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Solution

The fourth proportional to 200,041.34, 300,062.37 and 81,712.70 is: 122,569.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,041.34 : 300,062.37 = 81,712.70 : x
  2. Step 2: Convert to fraction form
    200,041.34/300,062.37 = 81,712.70/x
  3. Step 3: Cross multiply
    200,041.34x = 300,062.37 × 81,712.70
  4. Step 4: Simplify right side
    200,041.34x = 24,518,906,421.10
  5. Step 5: Solve for x
    x = 24,518,906,421.10/200,041.34
  6. Step 6: Final answer
    x = 122,569.20

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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.