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Finding the Fourth Proportional to 103,916.52, 143,404.02 and 81,278.64

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Solution

The fourth proportional to 103,916.52, 143,404.02 and 81,278.64 is: 112,163.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,916.52 : 143,404.02 = 81,278.64 : x
  2. Step 2: Convert to fraction form
    103,916.52/143,404.02 = 81,278.64/x
  3. Step 3: Cross multiply
    103,916.52x = 143,404.02 × 81,278.64
  4. Step 4: Simplify right side
    103,916.52x = 11,655,683,716.13
  5. Step 5: Solve for x
    x = 11,655,683,716.13/103,916.52
  6. Step 6: Final answer
    x = 112,163.91

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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.