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Finding the Fourth Proportional to 206,258, 309,339.48 and 116,340.08

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Solution

The fourth proportional to 206,258, 309,339.48 and 116,340.08 is: 174,483.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,258 : 309,339.48 = 116,340.08 : x
  2. Step 2: Convert to fraction form
    206,258/309,339.48 = 116,340.08/x
  3. Step 3: Cross multiply
    206,258x = 309,339.48 × 116,340.08
  4. Step 4: Simplify right side
    206,258x = 35,988,579,850.36
  5. Step 5: Solve for x
    x = 35,988,579,850.36/206,258
  6. Step 6: Final answer
    x = 174,483.32

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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.