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Finding the Fourth Proportional to 77,392, 106,823.76 and 50,538.64

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Solution

The fourth proportional to 77,392, 106,823.76 and 50,538.64 is: 69,758.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,392 : 106,823.76 = 50,538.64 : x
  2. Step 2: Convert to fraction form
    77,392/106,823.76 = 50,538.64/x
  3. Step 3: Cross multiply
    77,392x = 106,823.76 × 50,538.64
  4. Step 4: Simplify right side
    77,392x = 5,398,727,550.09
  5. Step 5: Solve for x
    x = 5,398,727,550.09/77,392
  6. Step 6: Final answer
    x = 69,758.21

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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.