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Finding the Fourth Proportional to 77,677, 116,264.88 and 40,185.44

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Solution

The fourth proportional to 77,677, 116,264.88 and 40,185.44 is: 60,148.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,677 : 116,264.88 = 40,185.44 : x
  2. Step 2: Convert to fraction form
    77,677/116,264.88 = 40,185.44/x
  3. Step 3: Cross multiply
    77,677x = 116,264.88 × 40,185.44
  4. Step 4: Simplify right side
    77,677x = 4,672,155,359.35
  5. Step 5: Solve for x
    x = 4,672,155,359.35/77,677
  6. Step 6: Final answer
    x = 60,148.50

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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.