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Finding the Fourth Proportional to 102,570.50, 153,910.99 and 49,979.98

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Solution

The fourth proportional to 102,570.50, 153,910.99 and 49,979.98 is: 74,996.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,570.50 : 153,910.99 = 49,979.98 : x
  2. Step 2: Convert to fraction form
    102,570.50/153,910.99 = 49,979.98/x
  3. Step 3: Cross multiply
    102,570.50x = 153,910.99 × 49,979.98
  4. Step 4: Simplify right side
    102,570.50x = 7,692,467,182.53
  5. Step 5: Solve for x
    x = 7,692,467,182.53/102,570.50
  6. Step 6: Final answer
    x = 74,996.88

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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.