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Finding the Fourth Proportional to 78,689.48, 118,032.09 and 19,524.44

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Solution

The fourth proportional to 78,689.48, 118,032.09 and 19,524.44 is: 29,286.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,689.48 : 118,032.09 = 19,524.44 : x
  2. Step 2: Convert to fraction form
    78,689.48/118,032.09 = 19,524.44/x
  3. Step 3: Cross multiply
    78,689.48x = 118,032.09 × 19,524.44
  4. Step 4: Simplify right side
    78,689.48x = 2,304,510,681.14
  5. Step 5: Solve for x
    x = 2,304,510,681.14/78,689.48
  6. Step 6: Final answer
    x = 29,286.14

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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.