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Finding the Fourth Proportional to 102,995.88, 154,454.94 and 47,553

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Solution

The fourth proportional to 102,995.88, 154,454.94 and 47,553 is: 71,311.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,995.88 : 154,454.94 = 47,553 : x
  2. Step 2: Convert to fraction form
    102,995.88/154,454.94 = 47,553/x
  3. Step 3: Cross multiply
    102,995.88x = 154,454.94 × 47,553
  4. Step 4: Simplify right side
    102,995.88x = 7,344,795,761.82
  5. Step 5: Solve for x
    x = 7,344,795,761.82/102,995.88
  6. Step 6: Final answer
    x = 71,311.55

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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.