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Finding the Fourth Proportional to 77,754, 116,621.74 and 45,752.20

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Solution

The fourth proportional to 77,754, 116,621.74 and 45,752.20 is: 68,622.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,754 : 116,621.74 = 45,752.20 : x
  2. Step 2: Convert to fraction form
    77,754/116,621.74 = 45,752.20/x
  3. Step 3: Cross multiply
    77,754x = 116,621.74 × 45,752.20
  4. Step 4: Simplify right side
    77,754x = 5,335,701,172.83
  5. Step 5: Solve for x
    x = 5,335,701,172.83/77,754
  6. Step 6: Final answer
    x = 68,622.85

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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.