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Finding the Fourth Proportional to 77,758.80, 116,638.20 and 71,307.60

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Solution

The fourth proportional to 77,758.80, 116,638.20 and 71,307.60 is: 106,961.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,758.80 : 116,638.20 = 71,307.60 : x
  2. Step 2: Convert to fraction form
    77,758.80/116,638.20 = 71,307.60/x
  3. Step 3: Cross multiply
    77,758.80x = 116,638.20 × 71,307.60
  4. Step 4: Simplify right side
    77,758.80x = 8,317,190,110.32
  5. Step 5: Solve for x
    x = 8,317,190,110.32/77,758.80
  6. Step 6: Final answer
    x = 106,961.40

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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.