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Finding the Fourth Proportional to 287,692.30, 431,570.85 and 88,011.10

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Solution

The fourth proportional to 287,692.30, 431,570.85 and 88,011.10 is: 132,026.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,692.30 : 431,570.85 = 88,011.10 : x
  2. Step 2: Convert to fraction form
    287,692.30/431,570.85 = 88,011.10/x
  3. Step 3: Cross multiply
    287,692.30x = 431,570.85 × 88,011.10
  4. Step 4: Simplify right side
    287,692.30x = 37,983,025,236.44
  5. Step 5: Solve for x
    x = 37,983,025,236.44/287,692.30
  6. Step 6: Final answer
    x = 132,026.56

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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.