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Finding the Fourth Proportional to 65,309.29, 90,135.15 and 38,454.29

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Solution

The fourth proportional to 65,309.29, 90,135.15 and 38,454.29 is: 53,071.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,309.29 : 90,135.15 = 38,454.29 : x
  2. Step 2: Convert to fraction form
    65,309.29/90,135.15 = 38,454.29/x
  3. Step 3: Cross multiply
    65,309.29x = 90,135.15 × 38,454.29
  4. Step 4: Simplify right side
    65,309.29x = 3,466,083,771.89
  5. Step 5: Solve for x
    x = 3,466,083,771.89/65,309.29
  6. Step 6: Final answer
    x = 53,071.84

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1.5x scale

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.