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Finding the Fourth Proportional to 20,101.78, 30,129.99 and 9,701.38

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Solution

The fourth proportional to 20,101.78, 30,129.99 and 9,701.38 is: 14,541.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,101.78 : 30,129.99 = 9,701.38 : x
  2. Step 2: Convert to fraction form
    20,101.78/30,129.99 = 9,701.38/x
  3. Step 3: Cross multiply
    20,101.78x = 30,129.99 × 9,701.38
  4. Step 4: Simplify right side
    20,101.78x = 292,302,482.39
  5. Step 5: Solve for x
    x = 292,302,482.39/20,101.78
  6. Step 6: Final answer
    x = 14,541.12

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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.