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Finding the Fourth Proportional to 77,202.84, 115,578.90 and 47,531.64

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Solution

The fourth proportional to 77,202.84, 115,578.90 and 47,531.64 is: 71,158.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,202.84 : 115,578.90 = 47,531.64 : x
  2. Step 2: Convert to fraction form
    77,202.84/115,578.90 = 47,531.64/x
  3. Step 3: Cross multiply
    77,202.84x = 115,578.90 × 47,531.64
  4. Step 4: Simplify right side
    77,202.84x = 5,493,654,666.40
  5. Step 5: Solve for x
    x = 5,493,654,666.40/77,202.84
  6. Step 6: Final answer
    x = 71,158.71

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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.