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Finding the Fourth Proportional to 65,774.74, 90,770.13 and 37,479.82

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Solution

The fourth proportional to 65,774.74, 90,770.13 and 37,479.82 is: 51,722.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,774.74 : 90,770.13 = 37,479.82 : x
  2. Step 2: Convert to fraction form
    65,774.74/90,770.13 = 37,479.82/x
  3. Step 3: Cross multiply
    65,774.74x = 90,770.13 × 37,479.82
  4. Step 4: Simplify right side
    65,774.74x = 3,402,048,133.78
  5. Step 5: Solve for x
    x = 3,402,048,133.78/65,774.74
  6. Step 6: Final answer
    x = 51,722.72

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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.