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Finding the Fourth Proportional to 287,913.84, 431,933.94 and 88,249.26

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Solution

The fourth proportional to 287,913.84, 431,933.94 and 88,249.26 is: 132,393.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,913.84 : 431,933.94 = 88,249.26 : x
  2. Step 2: Convert to fraction form
    287,913.84/431,933.94 = 88,249.26/x
  3. Step 3: Cross multiply
    287,913.84x = 431,933.94 × 88,249.26
  4. Step 4: Simplify right side
    287,913.84x = 38,117,850,573.88
  5. Step 5: Solve for x
    x = 38,117,850,573.88/287,913.84
  6. Step 6: Final answer
    x = 132,393.26

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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.