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Finding the Fourth Proportional to 65,899.20, 90,938.90 and 37,220

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Solution

The fourth proportional to 65,899.20, 90,938.90 and 37,220 is: 51,362.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,899.20 : 90,938.90 = 37,220 : x
  2. Step 2: Convert to fraction form
    65,899.20/90,938.90 = 37,220/x
  3. Step 3: Cross multiply
    65,899.20x = 90,938.90 × 37,220
  4. Step 4: Simplify right side
    65,899.20x = 3,384,745,858
  5. Step 5: Solve for x
    x = 3,384,745,858/65,899.20
  6. Step 6: Final answer
    x = 51,362.47

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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.