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Finding the Fourth Proportional to 201,455.10, 302,182.65 and 121,275.90

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Solution

The fourth proportional to 201,455.10, 302,182.65 and 121,275.90 is: 181,913.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,455.10 : 302,182.65 = 121,275.90 : x
  2. Step 2: Convert to fraction form
    201,455.10/302,182.65 = 121,275.90/x
  3. Step 3: Cross multiply
    201,455.10x = 302,182.65 × 121,275.90
  4. Step 4: Simplify right side
    201,455.10x = 36,647,472,843.14
  5. Step 5: Solve for x
    x = 36,647,472,843.14/201,455.10
  6. Step 6: Final answer
    x = 181,913.85

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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.