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Finding the Fourth Proportional to 215,368.80, 323,075.88 and 75,128.64

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Solution

The fourth proportional to 215,368.80, 323,075.88 and 75,128.64 is: 112,700.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,368.80 : 323,075.88 = 75,128.64 : x
  2. Step 2: Convert to fraction form
    215,368.80/323,075.88 = 75,128.64/x
  3. Step 3: Cross multiply
    215,368.80x = 323,075.88 × 75,128.64
  4. Step 4: Simplify right side
    215,368.80x = 24,272,251,481.20
  5. Step 5: Solve for x
    x = 24,272,251,481.20/215,368.80
  6. Step 6: Final answer
    x = 112,700.87

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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.