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Finding the Fourth Proportional to 101,648.22, 140,344.56 and 77,733.24

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Solution

The fourth proportional to 101,648.22, 140,344.56 and 77,733.24 is: 107,325.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,648.22 : 140,344.56 = 77,733.24 : x
  2. Step 2: Convert to fraction form
    101,648.22/140,344.56 = 77,733.24/x
  3. Step 3: Cross multiply
    101,648.22x = 140,344.56 × 77,733.24
  4. Step 4: Simplify right side
    101,648.22x = 10,909,437,365.17
  5. Step 5: Solve for x
    x = 10,909,437,365.17/101,648.22
  6. Step 6: Final answer
    x = 107,325.41

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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.