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Finding the Fourth Proportional to 77,017.49, 115,542.44 and 43,752.95

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Solution

The fourth proportional to 77,017.49, 115,542.44 and 43,752.95 is: 65,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,017.49 : 115,542.44 = 43,752.95 : x
  2. Step 2: Convert to fraction form
    77,017.49/115,542.44 = 43,752.95/x
  3. Step 3: Cross multiply
    77,017.49x = 115,542.44 × 43,752.95
  4. Step 4: Simplify right side
    77,017.49x = 5,055,322,600.20
  5. Step 5: Solve for x
    x = 5,055,322,600.20/77,017.49
  6. Step 6: Final answer
    x = 65,638.63

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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.