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Finding the Fourth Proportional to 20,242, 30,378.68 and 14,045.52

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Solution

The fourth proportional to 20,242, 30,378.68 and 14,045.52 is: 21,079.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,242 : 30,378.68 = 14,045.52 : x
  2. Step 2: Convert to fraction form
    20,242/30,378.68 = 14,045.52/x
  3. Step 3: Cross multiply
    20,242x = 30,378.68 × 14,045.52
  4. Step 4: Simplify right side
    20,242x = 426,684,357.51
  5. Step 5: Solve for x
    x = 426,684,357.51/20,242
  6. Step 6: Final answer
    x = 21,079.16

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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.