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Finding the Fourth Proportional to 74,342.25, 111,491.51 and 21,739.23

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Solution

The fourth proportional to 74,342.25, 111,491.51 and 21,739.23 is: 32,602.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,342.25 : 111,491.51 = 21,739.23 : x
  2. Step 2: Convert to fraction form
    74,342.25/111,491.51 = 21,739.23/x
  3. Step 3: Cross multiply
    74,342.25x = 111,491.51 × 21,739.23
  4. Step 4: Simplify right side
    74,342.25x = 2,423,739,470.24
  5. Step 5: Solve for x
    x = 2,423,739,470.24/74,342.25
  6. Step 6: Final answer
    x = 32,602.45

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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.