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Finding the Fourth Proportional to 205,373.80, 307,542.30 and 134,871.40

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Solution

The fourth proportional to 205,373.80, 307,542.30 and 134,871.40 is: 201,966.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,373.80 : 307,542.30 = 134,871.40 : x
  2. Step 2: Convert to fraction form
    205,373.80/307,542.30 = 134,871.40/x
  3. Step 3: Cross multiply
    205,373.80x = 307,542.30 × 134,871.40
  4. Step 4: Simplify right side
    205,373.80x = 41,478,660,560.22
  5. Step 5: Solve for x
    x = 41,478,660,560.22/205,373.80
  6. Step 6: Final answer
    x = 201,966.66

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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.