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Finding the Fourth Proportional to 97,803.87, 134,960 and 77,709.39

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Solution

The fourth proportional to 97,803.87, 134,960 and 77,709.39 is: 107,231.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,803.87 : 134,960 = 77,709.39 : x
  2. Step 2: Convert to fraction form
    97,803.87/134,960 = 77,709.39/x
  3. Step 3: Cross multiply
    97,803.87x = 134,960 × 77,709.39
  4. Step 4: Simplify right side
    97,803.87x = 10,487,658,599.60
  5. Step 5: Solve for x
    x = 10,487,658,599.60/97,803.87
  6. Step 6: Final answer
    x = 107,231.54

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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.