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Finding the Fourth Proportional to 65,748, 90,732.60 and 35,940

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Solution

The fourth proportional to 65,748, 90,732.60 and 35,940 is: 49,597.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,748 : 90,732.60 = 35,940 : x
  2. Step 2: Convert to fraction form
    65,748/90,732.60 = 35,940/x
  3. Step 3: Cross multiply
    65,748x = 90,732.60 × 35,940
  4. Step 4: Simplify right side
    65,748x = 3,260,929,644
  5. Step 5: Solve for x
    x = 3,260,929,644/65,748
  6. Step 6: Final answer
    x = 49,597.40

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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.