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Finding the Fourth Proportional to 77,361.84, 115,894.53 and 52,358.76

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Solution

The fourth proportional to 77,361.84, 115,894.53 and 52,358.76 is: 78,437.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,361.84 : 115,894.53 = 52,358.76 : x
  2. Step 2: Convert to fraction form
    77,361.84/115,894.53 = 52,358.76/x
  3. Step 3: Cross multiply
    77,361.84x = 115,894.53 × 52,358.76
  4. Step 4: Simplify right side
    77,361.84x = 6,068,093,685.24
  5. Step 5: Solve for x
    x = 6,068,093,685.24/77,361.84
  6. Step 6: Final answer
    x = 78,437.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.