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Finding the Fourth Proportional to 77,304.72, 106,895.25 and 61,361.49

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Solution

The fourth proportional to 77,304.72, 106,895.25 and 61,361.49 is: 84,849.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,304.72 : 106,895.25 = 61,361.49 : x
  2. Step 2: Convert to fraction form
    77,304.72/106,895.25 = 61,361.49/x
  3. Step 3: Cross multiply
    77,304.72x = 106,895.25 × 61,361.49
  4. Step 4: Simplify right side
    77,304.72x = 6,559,251,813.92
  5. Step 5: Solve for x
    x = 6,559,251,813.92/77,304.72
  6. Step 6: Final answer
    x = 84,849.31

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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.