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Finding the Fourth Proportional to 101,729.90, 140,381.60 and 56,405.22

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Solution

The fourth proportional to 101,729.90, 140,381.60 and 56,405.22 is: 77,836.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,729.90 : 140,381.60 = 56,405.22 : x
  2. Step 2: Convert to fraction form
    101,729.90/140,381.60 = 56,405.22/x
  3. Step 3: Cross multiply
    101,729.90x = 140,381.60 × 56,405.22
  4. Step 4: Simplify right side
    101,729.90x = 7,918,254,749.93
  5. Step 5: Solve for x
    x = 7,918,254,749.93/101,729.90
  6. Step 6: Final answer
    x = 77,836.07

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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.