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Finding the Fourth Proportional to 45,941.20, 68,911.80 and 42,254.80

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Solution

The fourth proportional to 45,941.20, 68,911.80 and 42,254.80 is: 63,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,941.20 : 68,911.80 = 42,254.80 : x
  2. Step 2: Convert to fraction form
    45,941.20/68,911.80 = 42,254.80/x
  3. Step 3: Cross multiply
    45,941.20x = 68,911.80 × 42,254.80
  4. Step 4: Simplify right side
    45,941.20x = 2,911,854,326.64
  5. Step 5: Solve for x
    x = 2,911,854,326.64/45,941.20
  6. Step 6: Final answer
    x = 63,382.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.