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Finding the Fourth Proportional to 77,411.28, 106,850.28 and 50,557.86

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Solution

The fourth proportional to 77,411.28, 106,850.28 and 50,557.86 is: 69,784.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,411.28 : 106,850.28 = 50,557.86 : x
  2. Step 2: Convert to fraction form
    77,411.28/106,850.28 = 50,557.86/x
  3. Step 3: Cross multiply
    77,411.28x = 106,850.28 × 50,557.86
  4. Step 4: Simplify right side
    77,411.28x = 5,402,121,497.20
  5. Step 5: Solve for x
    x = 5,402,121,497.20/77,411.28
  6. Step 6: Final answer
    x = 69,784.68

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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.