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Finding the Fourth Proportional to 203,988.98, 305,764.71 and 98,663.06

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Solution

The fourth proportional to 203,988.98, 305,764.71 and 98,663.06 is: 147,888.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,988.98 : 305,764.71 = 98,663.06 : x
  2. Step 2: Convert to fraction form
    203,988.98/305,764.71 = 98,663.06/x
  3. Step 3: Cross multiply
    203,988.98x = 305,764.71 × 98,663.06
  4. Step 4: Simplify right side
    203,988.98x = 30,167,681,928.61
  5. Step 5: Solve for x
    x = 30,167,681,928.61/203,988.98
  6. Step 6: Final answer
    x = 147,888.78

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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.