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Finding the Fourth Proportional to 65,234.82, 90,024.41 and 38,378.34

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Solution

The fourth proportional to 65,234.82, 90,024.41 and 38,378.34 is: 52,962.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,234.82 : 90,024.41 = 38,378.34 : x
  2. Step 2: Convert to fraction form
    65,234.82/90,024.41 = 38,378.34/x
  3. Step 3: Cross multiply
    65,234.82x = 90,024.41 × 38,378.34
  4. Step 4: Simplify right side
    65,234.82x = 3,454,987,415.28
  5. Step 5: Solve for x
    x = 3,454,987,415.28/65,234.82
  6. Step 6: Final answer
    x = 52,962.32

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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.