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Finding the Fourth Proportional to 101,098.48, 139,516.38 and 55,777

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Solution

The fourth proportional to 101,098.48, 139,516.38 and 55,777 is: 76,972.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,098.48 : 139,516.38 = 55,777 : x
  2. Step 2: Convert to fraction form
    101,098.48/139,516.38 = 55,777/x
  3. Step 3: Cross multiply
    101,098.48x = 139,516.38 × 55,777
  4. Step 4: Simplify right side
    101,098.48x = 7,781,805,127.26
  5. Step 5: Solve for x
    x = 7,781,805,127.26/101,098.48
  6. Step 6: Final answer
    x = 76,972.52

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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.