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Finding the Fourth Proportional to 98,270.32, 135,596.04 and 57,981.04

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Solution

The fourth proportional to 98,270.32, 135,596.04 and 57,981.04 is: 80,003.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,270.32 : 135,596.04 = 57,981.04 : x
  2. Step 2: Convert to fraction form
    98,270.32/135,596.04 = 57,981.04/x
  3. Step 3: Cross multiply
    98,270.32x = 135,596.04 × 57,981.04
  4. Step 4: Simplify right side
    98,270.32x = 7,861,999,419.08
  5. Step 5: Solve for x
    x = 7,861,999,419.08/98,270.32
  6. Step 6: Final answer
    x = 80,003.80

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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.