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Finding the Fourth Proportional to 65,397.12, 90,248 and 37,108.48

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Solution

The fourth proportional to 65,397.12, 90,248 and 37,108.48 is: 51,209.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,397.12 : 90,248 = 37,108.48 : x
  2. Step 2: Convert to fraction form
    65,397.12/90,248 = 37,108.48/x
  3. Step 3: Cross multiply
    65,397.12x = 90,248 × 37,108.48
  4. Step 4: Simplify right side
    65,397.12x = 3,348,966,103.04
  5. Step 5: Solve for x
    x = 3,348,966,103.04/65,397.12
  6. Step 6: Final answer
    x = 51,209.69

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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.