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Finding the Fourth Proportional to 201,275.80, 302,108.10 and 122,543.80

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Solution

The fourth proportional to 201,275.80, 302,108.10 and 122,543.80 is: 183,934.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,275.80 : 302,108.10 = 122,543.80 : x
  2. Step 2: Convert to fraction form
    201,275.80/302,108.10 = 122,543.80/x
  3. Step 3: Cross multiply
    201,275.80x = 302,108.10 × 122,543.80
  4. Step 4: Simplify right side
    201,275.80x = 37,021,474,584.78
  5. Step 5: Solve for x
    x = 37,021,474,584.78/201,275.80
  6. Step 6: Final answer
    x = 183,934.06

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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.