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Finding the Fourth Proportional to 52,285, 78,392.82 and 19,001.11

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Solution

The fourth proportional to 52,285, 78,392.82 and 19,001.11 is: 28,489.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,285 : 78,392.82 = 19,001.11 : x
  2. Step 2: Convert to fraction form
    52,285/78,392.82 = 19,001.11/x
  3. Step 3: Cross multiply
    52,285x = 78,392.82 × 19,001.11
  4. Step 4: Simplify right side
    52,285x = 1,489,550,596.03
  5. Step 5: Solve for x
    x = 1,489,550,596.03/52,285
  6. Step 6: Final answer
    x = 28,489.06

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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.