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Finding the Fourth Proportional to 103,251.82, 154,878.26 and 47,053.78

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Solution

The fourth proportional to 103,251.82, 154,878.26 and 47,053.78 is: 70,580.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,251.82 : 154,878.26 = 47,053.78 : x
  2. Step 2: Convert to fraction form
    103,251.82/154,878.26 = 47,053.78/x
  3. Step 3: Cross multiply
    103,251.82x = 154,878.26 × 47,053.78
  4. Step 4: Simplify right side
    103,251.82x = 7,287,607,572.82
  5. Step 5: Solve for x
    x = 7,287,607,572.82/103,251.82
  6. Step 6: Final answer
    x = 70,580.91

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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.