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Finding the Fourth Proportional to 191,987.84, 287,997.15 and 51,744.44

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Solution

The fourth proportional to 191,987.84, 287,997.15 and 51,744.44 is: 77,620.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,987.84 : 287,997.15 = 51,744.44 : x
  2. Step 2: Convert to fraction form
    191,987.84/287,997.15 = 51,744.44/x
  3. Step 3: Cross multiply
    191,987.84x = 287,997.15 × 51,744.44
  4. Step 4: Simplify right side
    191,987.84x = 14,902,251,248.35
  5. Step 5: Solve for x
    x = 14,902,251,248.35/191,987.84
  6. Step 6: Final answer
    x = 77,620.81

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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.