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Finding the Fourth Proportional to 199,811.40, 299,717.10 and 144,042.90

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Solution

The fourth proportional to 199,811.40, 299,717.10 and 144,042.90 is: 216,064.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,811.40 : 299,717.10 = 144,042.90 : x
  2. Step 2: Convert to fraction form
    199,811.40/299,717.10 = 144,042.90/x
  3. Step 3: Cross multiply
    199,811.40x = 299,717.10 × 144,042.90
  4. Step 4: Simplify right side
    199,811.40x = 43,172,120,263.59
  5. Step 5: Solve for x
    x = 43,172,120,263.59/199,811.40
  6. Step 6: Final answer
    x = 216,064.35

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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.