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Finding the Fourth Proportional to 150,978.09, 208,352.40 and 82,997.93

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Solution

The fourth proportional to 150,978.09, 208,352.40 and 82,997.93 is: 114,538.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,978.09 : 208,352.40 = 82,997.93 : x
  2. Step 2: Convert to fraction form
    150,978.09/208,352.40 = 82,997.93/x
  3. Step 3: Cross multiply
    150,978.09x = 208,352.40 × 82,997.93
  4. Step 4: Simplify right side
    150,978.09x = 17,292,818,742.66
  5. Step 5: Solve for x
    x = 17,292,818,742.66/150,978.09
  6. Step 6: Final answer
    x = 114,538.60

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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.