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Finding the Fourth Proportional to 98,432.45, 135,836.78 and 53,720.45

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Solution

The fourth proportional to 98,432.45, 135,836.78 and 53,720.45 is: 74,134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,432.45 : 135,836.78 = 53,720.45 : x
  2. Step 2: Convert to fraction form
    98,432.45/135,836.78 = 53,720.45/x
  3. Step 3: Cross multiply
    98,432.45x = 135,836.78 × 53,720.45
  4. Step 4: Simplify right side
    98,432.45x = 7,297,212,000.36
  5. Step 5: Solve for x
    x = 7,297,212,000.36/98,432.45
  6. Step 6: Final answer
    x = 74,134.21

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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.