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Finding the Fourth Proportional to 77,101.84, 106,418.36 and 50,197.52

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Solution

The fourth proportional to 77,101.84, 106,418.36 and 50,197.52 is: 69,284.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,101.84 : 106,418.36 = 50,197.52 : x
  2. Step 2: Convert to fraction form
    77,101.84/106,418.36 = 50,197.52/x
  3. Step 3: Cross multiply
    77,101.84x = 106,418.36 × 50,197.52
  4. Step 4: Simplify right side
    77,101.84x = 5,341,937,754.47
  5. Step 5: Solve for x
    x = 5,341,937,754.47/77,101.84
  6. Step 6: Final answer
    x = 69,284.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.