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Finding the Fourth Proportional to 65,915.14, 90,979.16 and 37,637.22

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Solution

The fourth proportional to 65,915.14, 90,979.16 and 37,637.22 is: 51,948.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,915.14 : 90,979.16 = 37,637.22 : x
  2. Step 2: Convert to fraction form
    65,915.14/90,979.16 = 37,637.22/x
  3. Step 3: Cross multiply
    65,915.14x = 90,979.16 × 37,637.22
  4. Step 4: Simplify right side
    65,915.14x = 3,424,202,660.34
  5. Step 5: Solve for x
    x = 3,424,202,660.34/65,915.14
  6. Step 6: Final answer
    x = 51,948.65

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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.