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Finding the Fourth Proportional to 252,307.63, 378,468.39 and 81,536.65

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Solution

The fourth proportional to 252,307.63, 378,468.39 and 81,536.65 is: 122,307.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,307.63 : 378,468.39 = 81,536.65 : x
  2. Step 2: Convert to fraction form
    252,307.63/378,468.39 = 81,536.65/x
  3. Step 3: Cross multiply
    252,307.63x = 378,468.39 × 81,536.65
  4. Step 4: Simplify right side
    252,307.63x = 30,859,044,011.09
  5. Step 5: Solve for x
    x = 30,859,044,011.09/252,307.63
  6. Step 6: Final answer
    x = 122,307.22

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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.