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Finding the Fourth Proportional to 77,655.26, 106,899.80 and 57,474.11

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Solution

The fourth proportional to 77,655.26, 106,899.80 and 57,474.11 is: 79,118.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,655.26 : 106,899.80 = 57,474.11 : x
  2. Step 2: Convert to fraction form
    77,655.26/106,899.80 = 57,474.11/x
  3. Step 3: Cross multiply
    77,655.26x = 106,899.80 × 57,474.11
  4. Step 4: Simplify right side
    77,655.26x = 6,143,970,864.18
  5. Step 5: Solve for x
    x = 6,143,970,864.18/77,655.26
  6. Step 6: Final answer
    x = 79,118.54

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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.