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Finding the Fourth Proportional to 87,103.84, 120,188.86 and 51,280.78

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Solution

The fourth proportional to 87,103.84, 120,188.86 and 51,280.78 is: 70,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,103.84 : 120,188.86 = 51,280.78 : x
  2. Step 2: Convert to fraction form
    87,103.84/120,188.86 = 51,280.78/x
  3. Step 3: Cross multiply
    87,103.84x = 120,188.86 × 51,280.78
  4. Step 4: Simplify right side
    87,103.84x = 6,163,378,488.11
  5. Step 5: Solve for x
    x = 6,163,378,488.11/87,103.84
  6. Step 6: Final answer
    x = 70,758.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.