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Finding the Fourth Proportional to 201,649.20, 302,473.80 and 83,405.40

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Solution

The fourth proportional to 201,649.20, 302,473.80 and 83,405.40 is: 125,108.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,649.20 : 302,473.80 = 83,405.40 : x
  2. Step 2: Convert to fraction form
    201,649.20/302,473.80 = 83,405.40/x
  3. Step 3: Cross multiply
    201,649.20x = 302,473.80 × 83,405.40
  4. Step 4: Simplify right side
    201,649.20x = 25,227,948,278.52
  5. Step 5: Solve for x
    x = 25,227,948,278.52/201,649.20
  6. Step 6: Final answer
    x = 125,108.10

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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.