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Finding the Fourth Proportional to 65,221, 90,005.34 and 35,413

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Solution

The fourth proportional to 65,221, 90,005.34 and 35,413 is: 48,870.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,221 : 90,005.34 = 35,413 : x
  2. Step 2: Convert to fraction form
    65,221/90,005.34 = 35,413/x
  3. Step 3: Cross multiply
    65,221x = 90,005.34 × 35,413
  4. Step 4: Simplify right side
    65,221x = 3,187,359,105.42
  5. Step 5: Solve for x
    x = 3,187,359,105.42/65,221
  6. Step 6: Final answer
    x = 48,870.14

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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.