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Finding the Fourth Proportional to 55,915.76, 77,163.92 and 30,422.10

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Solution

The fourth proportional to 55,915.76, 77,163.92 and 30,422.10 is: 41,982.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,915.76 : 77,163.92 = 30,422.10 : x
  2. Step 2: Convert to fraction form
    55,915.76/77,163.92 = 30,422.10/x
  3. Step 3: Cross multiply
    55,915.76x = 77,163.92 × 30,422.10
  4. Step 4: Simplify right side
    55,915.76x = 2,347,488,490.63
  5. Step 5: Solve for x
    x = 2,347,488,490.63/55,915.76
  6. Step 6: Final answer
    x = 41,982.59

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1.5x scale

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.