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Finding the Fourth Proportional to 65,690.85, 90,653.46 and 37,396.50

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Solution

The fourth proportional to 65,690.85, 90,653.46 and 37,396.50 is: 51,607.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,690.85 : 90,653.46 = 37,396.50 : x
  2. Step 2: Convert to fraction form
    65,690.85/90,653.46 = 37,396.50/x
  3. Step 3: Cross multiply
    65,690.85x = 90,653.46 × 37,396.50
  4. Step 4: Simplify right side
    65,690.85x = 3,390,122,116.89
  5. Step 5: Solve for x
    x = 3,390,122,116.89/65,690.85
  6. Step 6: Final answer
    x = 51,607.22

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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.