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Finding the Fourth Proportional to 77,776.84, 107,233.38 and 59,648.68

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Solution

The fourth proportional to 77,776.84, 107,233.38 and 59,648.68 is: 82,239.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,776.84 : 107,233.38 = 59,648.68 : x
  2. Step 2: Convert to fraction form
    77,776.84/107,233.38 = 59,648.68/x
  3. Step 3: Cross multiply
    77,776.84x = 107,233.38 × 59,648.68
  4. Step 4: Simplify right side
    77,776.84x = 6,396,329,568.94
  5. Step 5: Solve for x
    x = 6,396,329,568.94/77,776.84
  6. Step 6: Final answer
    x = 82,239.51

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.