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Finding the Fourth Proportional to 150,952.36, 208,309.88 and 86,419.44

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Solution

The fourth proportional to 150,952.36, 208,309.88 and 86,419.44 is: 119,256.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,952.36 : 208,309.88 = 86,419.44 : x
  2. Step 2: Convert to fraction form
    150,952.36/208,309.88 = 86,419.44/x
  3. Step 3: Cross multiply
    150,952.36x = 208,309.88 × 86,419.44
  4. Step 4: Simplify right side
    150,952.36x = 18,002,023,176.07
  5. Step 5: Solve for x
    x = 18,002,023,176.07/150,952.36
  6. Step 6: Final answer
    x = 119,256.32

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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.