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Finding the Fourth Proportional to 45,684.48, 68,388.48 and 42,228.48

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Solution

The fourth proportional to 45,684.48, 68,388.48 and 42,228.48 is: 63,214.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,684.48 : 68,388.48 = 42,228.48 : x
  2. Step 2: Convert to fraction form
    45,684.48/68,388.48 = 42,228.48/x
  3. Step 3: Cross multiply
    45,684.48x = 68,388.48 × 42,228.48
  4. Step 4: Simplify right side
    45,684.48x = 2,887,941,559.91
  5. Step 5: Solve for x
    x = 2,887,941,559.91/45,684.48
  6. Step 6: Final answer
    x = 63,214.94

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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.