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Finding the Fourth Proportional to 199,987.83, 300,065.13 and 87,748.70

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Solution

The fourth proportional to 199,987.83, 300,065.13 and 87,748.70 is: 131,659.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,987.83 : 300,065.13 = 87,748.70 : x
  2. Step 2: Convert to fraction form
    199,987.83/300,065.13 = 87,748.70/x
  3. Step 3: Cross multiply
    199,987.83x = 300,065.13 × 87,748.70
  4. Step 4: Simplify right side
    199,987.83x = 26,330,323,572.51
  5. Step 5: Solve for x
    x = 26,330,323,572.51/199,987.83
  6. Step 6: Final answer
    x = 131,659.63

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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.