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Finding the Fourth Proportional to 65,498.49, 90,387.90 and 35,690.49

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Solution

The fourth proportional to 65,498.49, 90,387.90 and 35,690.49 is: 49,252.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,498.49 : 90,387.90 = 35,690.49 : x
  2. Step 2: Convert to fraction form
    65,498.49/90,387.90 = 35,690.49/x
  3. Step 3: Cross multiply
    65,498.49x = 90,387.90 × 35,690.49
  4. Step 4: Simplify right side
    65,498.49x = 3,225,988,441.07
  5. Step 5: Solve for x
    x = 3,225,988,441.07/65,498.49
  6. Step 6: Final answer
    x = 49,252.87

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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.