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Finding the Fourth Proportional to 215,407.84, 323,108.88 and 75,165.76

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Solution

The fourth proportional to 215,407.84, 323,108.88 and 75,165.76 is: 112,747.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,407.84 : 323,108.88 = 75,165.76 : x
  2. Step 2: Convert to fraction form
    215,407.84/323,108.88 = 75,165.76/x
  3. Step 3: Cross multiply
    215,407.84x = 323,108.88 × 75,165.76
  4. Step 4: Simplify right side
    215,407.84x = 24,286,724,527.95
  5. Step 5: Solve for x
    x = 24,286,724,527.95/215,407.84
  6. Step 6: Final answer
    x = 112,747.64

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1.5x scale

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.