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Finding the Fourth Proportional to 150,720.75, 208,001.93 and 83,652.75

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Solution

The fourth proportional to 150,720.75, 208,001.93 and 83,652.75 is: 115,444.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,720.75 : 208,001.93 = 83,652.75 : x
  2. Step 2: Convert to fraction form
    150,720.75/208,001.93 = 83,652.75/x
  3. Step 3: Cross multiply
    150,720.75x = 208,001.93 × 83,652.75
  4. Step 4: Simplify right side
    150,720.75x = 17,399,933,031.54
  5. Step 5: Solve for x
    x = 17,399,933,031.54/150,720.75
  6. Step 6: Final answer
    x = 115,444.84

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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.