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Finding the Fourth Proportional to 151,259.34, 208,736.21 and 83,274.90

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Solution

The fourth proportional to 151,259.34, 208,736.21 and 83,274.90 is: 114,918.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,259.34 : 208,736.21 = 83,274.90 : x
  2. Step 2: Convert to fraction form
    151,259.34/208,736.21 = 83,274.90/x
  3. Step 3: Cross multiply
    151,259.34x = 208,736.21 × 83,274.90
  4. Step 4: Simplify right side
    151,259.34x = 17,382,486,597.75
  5. Step 5: Solve for x
    x = 17,382,486,597.75/151,259.34
  6. Step 6: Final answer
    x = 114,918.43

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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.