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Finding the Fourth Proportional to 203,748, 305,744.88 and 87,012

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Solution

The fourth proportional to 203,748, 305,744.88 and 87,012 is: 130,570.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,748 : 305,744.88 = 87,012 : x
  2. Step 2: Convert to fraction form
    203,748/305,744.88 = 87,012/x
  3. Step 3: Cross multiply
    203,748x = 305,744.88 × 87,012
  4. Step 4: Simplify right side
    203,748x = 26,603,473,498.56
  5. Step 5: Solve for x
    x = 26,603,473,498.56/203,748
  6. Step 6: Final answer
    x = 130,570.48

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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.