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Finding the Fourth Proportional to 105,113.39, 157,576.33 and 38,538

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Solution

The fourth proportional to 105,113.39, 157,576.33 and 38,538 is: 57,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,113.39 : 157,576.33 = 38,538 : x
  2. Step 2: Convert to fraction form
    105,113.39/157,576.33 = 38,538/x
  3. Step 3: Cross multiply
    105,113.39x = 157,576.33 × 38,538
  4. Step 4: Simplify right side
    105,113.39x = 6,072,676,605.54
  5. Step 5: Solve for x
    x = 6,072,676,605.54/105,113.39
  6. Step 6: Final answer
    x = 57,772.63

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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.