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Finding the Fourth Proportional to 98,392, 135,781.92 and 53,680.96

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Solution

The fourth proportional to 98,392, 135,781.92 and 53,680.96 is: 74,080.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,392 : 135,781.92 = 53,680.96 : x
  2. Step 2: Convert to fraction form
    98,392/135,781.92 = 53,680.96/x
  3. Step 3: Cross multiply
    98,392x = 135,781.92 × 53,680.96
  4. Step 4: Simplify right side
    98,392x = 7,288,903,816.24
  5. Step 5: Solve for x
    x = 7,288,903,816.24/98,392
  6. Step 6: Final answer
    x = 74,080.25

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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.