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Finding the Fourth Proportional to 87,205.84, 120,367.06 and 51,419.68

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Solution

The fourth proportional to 87,205.84, 120,367.06 and 51,419.68 is: 70,972.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,205.84 : 120,367.06 = 51,419.68 : x
  2. Step 2: Convert to fraction form
    87,205.84/120,367.06 = 51,419.68/x
  3. Step 3: Cross multiply
    87,205.84x = 120,367.06 × 51,419.68
  4. Step 4: Simplify right side
    87,205.84x = 6,189,235,707.74
  5. Step 5: Solve for x
    x = 6,189,235,707.74/87,205.84
  6. Step 6: Final answer
    x = 70,972.72

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1.5x scale

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.