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Finding the Fourth Proportional to 65,677.32, 90,634.80 and 37,383

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Solution

The fourth proportional to 65,677.32, 90,634.80 and 37,383 is: 51,588.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,677.32 : 90,634.80 = 37,383 : x
  2. Step 2: Convert to fraction form
    65,677.32/90,634.80 = 37,383/x
  3. Step 3: Cross multiply
    65,677.32x = 90,634.80 × 37,383
  4. Step 4: Simplify right side
    65,677.32x = 3,388,200,728.40
  5. Step 5: Solve for x
    x = 3,388,200,728.40/65,677.32
  6. Step 6: Final answer
    x = 51,588.60

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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.