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Finding the Fourth Proportional to 149,798.08, 206,721.62 and 85,265.11

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Solution

The fourth proportional to 149,798.08, 206,721.62 and 85,265.11 is: 117,666.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,798.08 : 206,721.62 = 85,265.11 : x
  2. Step 2: Convert to fraction form
    149,798.08/206,721.62 = 85,265.11/x
  3. Step 3: Cross multiply
    149,798.08x = 206,721.62 × 85,265.11
  4. Step 4: Simplify right side
    149,798.08x = 17,626,141,668.68
  5. Step 5: Solve for x
    x = 17,626,141,668.68/149,798.08
  6. Step 6: Final answer
    x = 117,666.01

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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.