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Finding the Fourth Proportional to 78,234.57, 117,160.46 and 70,652.97

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Solution

The fourth proportional to 78,234.57, 117,160.46 and 70,652.97 is: 105,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,234.57 : 117,160.46 = 70,652.97 : x
  2. Step 2: Convert to fraction form
    78,234.57/117,160.46 = 70,652.97/x
  3. Step 3: Cross multiply
    78,234.57x = 117,160.46 × 70,652.97
  4. Step 4: Simplify right side
    78,234.57x = 8,277,733,526.50
  5. Step 5: Solve for x
    x = 8,277,733,526.50/78,234.57
  6. Step 6: Final answer
    x = 105,806.60

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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.