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Finding the Fourth Proportional to 206,843.18, 285,443.43 and 117,419.18

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Solution

The fourth proportional to 206,843.18, 285,443.43 and 117,419.18 is: 162,038.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,843.18 : 285,443.43 = 117,419.18 : x
  2. Step 2: Convert to fraction form
    206,843.18/285,443.43 = 117,419.18/x
  3. Step 3: Cross multiply
    206,843.18x = 285,443.43 × 117,419.18
  4. Step 4: Simplify right side
    206,843.18x = 33,516,533,486.99
  5. Step 5: Solve for x
    x = 33,516,533,486.99/206,843.18
  6. Step 6: Final answer
    x = 162,038.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.