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Finding the Fourth Proportional to 98,459.88, 135,872.74 and 53,748.20

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Solution

The fourth proportional to 98,459.88, 135,872.74 and 53,748.20 is: 74,171.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,459.88 : 135,872.74 = 53,748.20 : x
  2. Step 2: Convert to fraction form
    98,459.88/135,872.74 = 53,748.20/x
  3. Step 3: Cross multiply
    98,459.88x = 135,872.74 × 53,748.20
  4. Step 4: Simplify right side
    98,459.88x = 7,302,915,204.07
  5. Step 5: Solve for x
    x = 7,302,915,204.07/98,459.88
  6. Step 6: Final answer
    x = 74,171.48

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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.