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Finding the Fourth Proportional to 101,672.51, 140,309.10 and 56,351.50

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Solution

The fourth proportional to 101,672.51, 140,309.10 and 56,351.50 is: 77,765.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,672.51 : 140,309.10 = 56,351.50 : x
  2. Step 2: Convert to fraction form
    101,672.51/140,309.10 = 56,351.50/x
  3. Step 3: Cross multiply
    101,672.51x = 140,309.10 × 56,351.50
  4. Step 4: Simplify right side
    101,672.51x = 7,906,627,897.88
  5. Step 5: Solve for x
    x = 7,906,627,897.88/101,672.51
  6. Step 6: Final answer
    x = 77,765.64

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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.