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Finding the Fourth Proportional to 65,676.32, 90,633.42 and 37,382

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Solution

The fourth proportional to 65,676.32, 90,633.42 and 37,382 is: 51,587.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676.32 : 90,633.42 = 37,382 : x
  2. Step 2: Convert to fraction form
    65,676.32/90,633.42 = 37,382/x
  3. Step 3: Cross multiply
    65,676.32x = 90,633.42 × 37,382
  4. Step 4: Simplify right side
    65,676.32x = 3,388,058,319.53
  5. Step 5: Solve for x
    x = 3,388,058,319.53/65,676.32
  6. Step 6: Final answer
    x = 51,587.22

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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.