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Finding the Fourth Proportional to 77,687.60, 116,447.69 and 37,621.76

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Solution

The fourth proportional to 77,687.60, 116,447.69 and 37,621.76 is: 56,392.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,687.60 : 116,447.69 = 37,621.76 : x
  2. Step 2: Convert to fraction form
    77,687.60/116,447.69 = 37,621.76/x
  3. Step 3: Cross multiply
    77,687.60x = 116,447.69 × 37,621.76
  4. Step 4: Simplify right side
    77,687.60x = 4,380,967,148.74
  5. Step 5: Solve for x
    x = 4,380,967,148.74/77,687.60
  6. Step 6: Final answer
    x = 56,392.10

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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.