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Finding the Fourth Proportional to 77,655.76, 106,900.49 and 57,474.61

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Solution

The fourth proportional to 77,655.76, 106,900.49 and 57,474.61 is: 79,119.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,655.76 : 106,900.49 = 57,474.61 : x
  2. Step 2: Convert to fraction form
    77,655.76/106,900.49 = 57,474.61/x
  3. Step 3: Cross multiply
    77,655.76x = 106,900.49 × 57,474.61
  4. Step 4: Simplify right side
    77,655.76x = 6,144,063,971.56
  5. Step 5: Solve for x
    x = 6,144,063,971.56/77,655.76
  6. Step 6: Final answer
    x = 79,119.23

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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.