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Finding the Fourth Proportional to 78,193.68, 117,277.44 and 28,264.32

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Solution

The fourth proportional to 78,193.68, 117,277.44 and 28,264.32 is: 42,391.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,193.68 : 117,277.44 = 28,264.32 : x
  2. Step 2: Convert to fraction form
    78,193.68/117,277.44 = 28,264.32/x
  3. Step 3: Cross multiply
    78,193.68x = 117,277.44 × 28,264.32
  4. Step 4: Simplify right side
    78,193.68x = 3,314,767,092.94
  5. Step 5: Solve for x
    x = 3,314,767,092.94/78,193.68
  6. Step 6: Final answer
    x = 42,391.75

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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.