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Finding the Fourth Proportional to 98,189.46, 135,611.82 and 66,303

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Solution

The fourth proportional to 98,189.46, 135,611.82 and 66,303 is: 91,572.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,189.46 : 135,611.82 = 66,303 : x
  2. Step 2: Convert to fraction form
    98,189.46/135,611.82 = 66,303/x
  3. Step 3: Cross multiply
    98,189.46x = 135,611.82 × 66,303
  4. Step 4: Simplify right side
    98,189.46x = 8,991,470,501.46
  5. Step 5: Solve for x
    x = 8,991,470,501.46/98,189.46
  6. Step 6: Final answer
    x = 91,572.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.