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Finding the Fourth Proportional to 78,193.74, 117,289.92 and 28,254.94

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Solution

The fourth proportional to 78,193.74, 117,289.92 and 28,254.94 is: 42,382.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.74 : 117,289.92 = 28,254.94 : x
  2. Step 2: Convert to fraction form
    78,193.74/117,289.92 = 28,254.94/x
  3. Step 3: Cross multiply
    78,193.74x = 117,289.92 × 28,254.94
  4. Step 4: Simplify right side
    78,193.74x = 3,314,019,652.20
  5. Step 5: Solve for x
    x = 3,314,019,652.20/78,193.74
  6. Step 6: Final answer
    x = 42,382.16

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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.