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Finding the Fourth Proportional to 78,478.92, 117,652.02 and 34,072.08

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Solution

The fourth proportional to 78,478.92, 117,652.02 and 34,072.08 is: 51,079.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,478.92 : 117,652.02 = 34,072.08 : x
  2. Step 2: Convert to fraction form
    78,478.92/117,652.02 = 34,072.08/x
  3. Step 3: Cross multiply
    78,478.92x = 117,652.02 × 34,072.08
  4. Step 4: Simplify right side
    78,478.92x = 4,008,649,037.60
  5. Step 5: Solve for x
    x = 4,008,649,037.60/78,478.92
  6. Step 6: Final answer
    x = 51,079.31

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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.