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Finding the Fourth Proportional to 101,699.28, 140,344.62 and 56,987.28

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Solution

The fourth proportional to 101,699.28, 140,344.62 and 56,987.28 is: 78,642.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,699.28 : 140,344.62 = 56,987.28 : x
  2. Step 2: Convert to fraction form
    101,699.28/140,344.62 = 56,987.28/x
  3. Step 3: Cross multiply
    101,699.28x = 140,344.62 × 56,987.28
  4. Step 4: Simplify right side
    101,699.28x = 7,997,858,156.43
  5. Step 5: Solve for x
    x = 7,997,858,156.43/101,699.28
  6. Step 6: Final answer
    x = 78,642.23

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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.