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Finding the Fourth Proportional to 89,748, 134,628.48 and 34,344

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Solution

The fourth proportional to 89,748, 134,628.48 and 34,344 is: 51,518.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,748 : 134,628.48 = 34,344 : x
  2. Step 2: Convert to fraction form
    89,748/134,628.48 = 34,344/x
  3. Step 3: Cross multiply
    89,748x = 134,628.48 × 34,344
  4. Step 4: Simplify right side
    89,748x = 4,623,680,517.12
  5. Step 5: Solve for x
    x = 4,623,680,517.12/89,748
  6. Step 6: Final answer
    x = 51,518.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.