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Finding the Fourth Proportional to 78,321.76, 117,445.38 and 28,392.28

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Solution

The fourth proportional to 78,321.76, 117,445.38 and 28,392.28 is: 42,574.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,321.76 : 117,445.38 = 28,392.28 : x
  2. Step 2: Convert to fraction form
    78,321.76/117,445.38 = 28,392.28/x
  3. Step 3: Cross multiply
    78,321.76x = 117,445.38 × 28,392.28
  4. Step 4: Simplify right side
    78,321.76x = 3,334,542,113.67
  5. Step 5: Solve for x
    x = 3,334,542,113.67/78,321.76
  6. Step 6: Final answer
    x = 42,574.91

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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.