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Finding the Fourth Proportional to 45,642.40, 68,348.40 and 29,975.20

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Solution

The fourth proportional to 45,642.40, 68,348.40 and 29,975.20 is: 44,887.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,642.40 : 68,348.40 = 29,975.20 : x
  2. Step 2: Convert to fraction form
    45,642.40/68,348.40 = 29,975.20/x
  3. Step 3: Cross multiply
    45,642.40x = 68,348.40 × 29,975.20
  4. Step 4: Simplify right side
    45,642.40x = 2,048,756,959.68
  5. Step 5: Solve for x
    x = 2,048,756,959.68/45,642.40
  6. Step 6: Final answer
    x = 44,887.14

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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.