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Finding the Fourth Proportional to 77,816.84, 115,985.02 and 73,387.76

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Solution

The fourth proportional to 77,816.84, 115,985.02 and 73,387.76 is: 109,383.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,816.84 : 115,985.02 = 73,387.76 : x
  2. Step 2: Convert to fraction form
    77,816.84/115,985.02 = 73,387.76/x
  3. Step 3: Cross multiply
    77,816.84x = 115,985.02 × 73,387.76
  4. Step 4: Simplify right side
    77,816.84x = 8,511,880,811.36
  5. Step 5: Solve for x
    x = 8,511,880,811.36/77,816.84
  6. Step 6: Final answer
    x = 109,383.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.