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Finding the Fourth Proportional to 106,640.80, 159,838.16 and 40,038.45

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Solution

The fourth proportional to 106,640.80, 159,838.16 and 40,038.45 is: 60,011.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,640.80 : 159,838.16 = 40,038.45 : x
  2. Step 2: Convert to fraction form
    106,640.80/159,838.16 = 40,038.45/x
  3. Step 3: Cross multiply
    106,640.80x = 159,838.16 × 40,038.45
  4. Step 4: Simplify right side
    106,640.80x = 6,399,672,177.25
  5. Step 5: Solve for x
    x = 6,399,672,177.25/106,640.80
  6. Step 6: Final answer
    x = 60,011.48

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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.