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Finding the Fourth Proportional to 65,421, 90,280.98 and 35,613

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Solution

The fourth proportional to 65,421, 90,280.98 and 35,613 is: 49,145.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,421 : 90,280.98 = 35,613 : x
  2. Step 2: Convert to fraction form
    65,421/90,280.98 = 35,613/x
  3. Step 3: Cross multiply
    65,421x = 90,280.98 × 35,613
  4. Step 4: Simplify right side
    65,421x = 3,215,176,540.74
  5. Step 5: Solve for x
    x = 3,215,176,540.74/65,421
  6. Step 6: Final answer
    x = 49,145.94

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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.