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Finding the Fourth Proportional to 287,771.86, 431,691.13 and 95,663.48

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Solution

The fourth proportional to 287,771.86, 431,691.13 and 95,663.48 is: 143,506.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,771.86 : 431,691.13 = 95,663.48 : x
  2. Step 2: Convert to fraction form
    287,771.86/431,691.13 = 95,663.48/x
  3. Step 3: Cross multiply
    287,771.86x = 431,691.13 × 95,663.48
  4. Step 4: Simplify right side
    287,771.86x = 41,297,075,780.93
  5. Step 5: Solve for x
    x = 41,297,075,780.93/287,771.86
  6. Step 6: Final answer
    x = 143,506.30

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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.