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Finding the Fourth Proportional to 78,084.48, 116,854.32 and 63,880.32

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Solution

The fourth proportional to 78,084.48, 116,854.32 and 63,880.32 is: 95,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,084.48 : 116,854.32 = 63,880.32 : x
  2. Step 2: Convert to fraction form
    78,084.48/116,854.32 = 63,880.32/x
  3. Step 3: Cross multiply
    78,084.48x = 116,854.32 × 63,880.32
  4. Step 4: Simplify right side
    78,084.48x = 7,464,691,354.98
  5. Step 5: Solve for x
    x = 7,464,691,354.98/78,084.48
  6. Step 6: Final answer
    x = 95,597.63

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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.