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Finding the Fourth Proportional to 33,117.90, 49,612.05 and 19,931.10

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Solution

The fourth proportional to 33,117.90, 49,612.05 and 19,931.10 is: 29,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,117.90 : 49,612.05 = 19,931.10 : x
  2. Step 2: Convert to fraction form
    33,117.90/49,612.05 = 19,931.10/x
  3. Step 3: Cross multiply
    33,117.90x = 49,612.05 × 19,931.10
  4. Step 4: Simplify right side
    33,117.90x = 988,822,729.76
  5. Step 5: Solve for x
    x = 988,822,729.76/33,117.90
  6. Step 6: Final answer
    x = 29,857.65

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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.