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Finding the Fourth Proportional to 78,333.16, 117,474.86 and 25,730.40

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Solution

The fourth proportional to 78,333.16, 117,474.86 and 25,730.40 is: 38,587.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,333.16 : 117,474.86 = 25,730.40 : x
  2. Step 2: Convert to fraction form
    78,333.16/117,474.86 = 25,730.40/x
  3. Step 3: Cross multiply
    78,333.16x = 117,474.86 × 25,730.40
  4. Step 4: Simplify right side
    78,333.16x = 3,022,675,137.74
  5. Step 5: Solve for x
    x = 3,022,675,137.74/78,333.16
  6. Step 6: Final answer
    x = 38,587.43

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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.