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Finding the Fourth Proportional to 77,639.80, 107,111.82 and 48,950.02

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Solution

The fourth proportional to 77,639.80, 107,111.82 and 48,950.02 is: 67,531.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,639.80 : 107,111.82 = 48,950.02 : x
  2. Step 2: Convert to fraction form
    77,639.80/107,111.82 = 48,950.02/x
  3. Step 3: Cross multiply
    77,639.80x = 107,111.82 × 48,950.02
  4. Step 4: Simplify right side
    77,639.80x = 5,243,125,731.24
  5. Step 5: Solve for x
    x = 5,243,125,731.24/77,639.80
  6. Step 6: Final answer
    x = 67,531.42

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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.