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Finding the Fourth Proportional to 101,962.36, 140,704.05 and 56,643.22

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Solution

The fourth proportional to 101,962.36, 140,704.05 and 56,643.22 is: 78,165.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,962.36 : 140,704.05 = 56,643.22 : x
  2. Step 2: Convert to fraction form
    101,962.36/140,704.05 = 56,643.22/x
  3. Step 3: Cross multiply
    101,962.36x = 140,704.05 × 56,643.22
  4. Step 4: Simplify right side
    101,962.36x = 7,969,930,459.04
  5. Step 5: Solve for x
    x = 7,969,930,459.04/101,962.36
  6. Step 6: Final answer
    x = 78,165.42

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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.