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Finding the Fourth Proportional to 70,044.36, 105,083.15 and 20,123.25

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Solution

The fourth proportional to 70,044.36, 105,083.15 and 20,123.25 is: 30,189.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,044.36 : 105,083.15 = 20,123.25 : x
  2. Step 2: Convert to fraction form
    70,044.36/105,083.15 = 20,123.25/x
  3. Step 3: Cross multiply
    70,044.36x = 105,083.15 × 20,123.25
  4. Step 4: Simplify right side
    70,044.36x = 2,114,614,397.62
  5. Step 5: Solve for x
    x = 2,114,614,397.62/70,044.36
  6. Step 6: Final answer
    x = 30,189.65

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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.