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Finding the Fourth Proportional to 78,311.94, 117,441.58 and 28,381.58

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Solution

The fourth proportional to 78,311.94, 117,441.58 and 28,381.58 is: 42,562.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,311.94 : 117,441.58 = 28,381.58 : x
  2. Step 2: Convert to fraction form
    78,311.94/117,441.58 = 28,381.58/x
  3. Step 3: Cross multiply
    78,311.94x = 117,441.58 × 28,381.58
  4. Step 4: Simplify right side
    78,311.94x = 3,333,177,456.19
  5. Step 5: Solve for x
    x = 3,333,177,456.19/78,311.94
  6. Step 6: Final answer
    x = 42,562.83

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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.