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Finding the Fourth Proportional to 77,250.53, 115,795.91 and 43,898.78

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Solution

The fourth proportional to 77,250.53, 115,795.91 and 43,898.78 is: 65,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,250.53 : 115,795.91 = 43,898.78 : x
  2. Step 2: Convert to fraction form
    77,250.53/115,795.91 = 43,898.78/x
  3. Step 3: Cross multiply
    77,250.53x = 115,795.91 × 43,898.78
  4. Step 4: Simplify right side
    77,250.53x = 5,083,298,379.52
  5. Step 5: Solve for x
    x = 5,083,298,379.52/77,250.53
  6. Step 6: Final answer
    x = 65,802.77

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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.