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Finding the Fourth Proportional to 55,754.93, 77,005.70 and 36,719.78

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Solution

The fourth proportional to 55,754.93, 77,005.70 and 36,719.78 is: 50,715.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,754.93 : 77,005.70 = 36,719.78 : x
  2. Step 2: Convert to fraction form
    55,754.93/77,005.70 = 36,719.78/x
  3. Step 3: Cross multiply
    55,754.93x = 77,005.70 × 36,719.78
  4. Step 4: Simplify right side
    55,754.93x = 2,827,631,794.12
  5. Step 5: Solve for x
    x = 2,827,631,794.12/55,754.93
  6. Step 6: Final answer
    x = 50,715.37

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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.