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Finding the Fourth Proportional to 149,953.68, 206,936.28 and 86,290.20

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Solution

The fourth proportional to 149,953.68, 206,936.28 and 86,290.20 is: 119,080.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,953.68 : 206,936.28 = 86,290.20 : x
  2. Step 2: Convert to fraction form
    149,953.68/206,936.28 = 86,290.20/x
  3. Step 3: Cross multiply
    149,953.68x = 206,936.28 × 86,290.20
  4. Step 4: Simplify right side
    149,953.68x = 17,856,572,988.46
  5. Step 5: Solve for x
    x = 17,856,572,988.46/149,953.68
  6. Step 6: Final answer
    x = 119,080.59

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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.