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Finding the Fourth Proportional to 105,220.33, 157,830.49 and 38,631.64

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Solution

The fourth proportional to 105,220.33, 157,830.49 and 38,631.64 is: 57,947.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,220.33 : 157,830.49 = 38,631.64 : x
  2. Step 2: Convert to fraction form
    105,220.33/157,830.49 = 38,631.64/x
  3. Step 3: Cross multiply
    105,220.33x = 157,830.49 × 38,631.64
  4. Step 4: Simplify right side
    105,220.33x = 6,097,251,103.56
  5. Step 5: Solve for x
    x = 6,097,251,103.56/105,220.33
  6. Step 6: Final answer
    x = 57,947.46

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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.