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Finding the Fourth Proportional to 65,813.43, 90,822.54 and 37,139.16

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Solution

The fourth proportional to 65,813.43, 90,822.54 and 37,139.16 is: 51,252.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,813.43 : 90,822.54 = 37,139.16 : x
  2. Step 2: Convert to fraction form
    65,813.43/90,822.54 = 37,139.16/x
  3. Step 3: Cross multiply
    65,813.43x = 90,822.54 × 37,139.16
  4. Step 4: Simplify right side
    65,813.43x = 3,373,072,844.67
  5. Step 5: Solve for x
    x = 3,373,072,844.67/65,813.43
  6. Step 6: Final answer
    x = 51,252.04

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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.