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Finding the Fourth Proportional to 201,514.90, 302,272.35 and 142,465.90

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Solution

The fourth proportional to 201,514.90, 302,272.35 and 142,465.90 is: 213,698.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,514.90 : 302,272.35 = 142,465.90 : x
  2. Step 2: Convert to fraction form
    201,514.90/302,272.35 = 142,465.90/x
  3. Step 3: Cross multiply
    201,514.90x = 302,272.35 × 142,465.90
  4. Step 4: Simplify right side
    201,514.90x = 43,063,502,387.87
  5. Step 5: Solve for x
    x = 43,063,502,387.87/201,514.90
  6. Step 6: Final answer
    x = 213,698.85

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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.