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Finding the Fourth Proportional to 101,712.36, 140,371.35 and 56,404.55

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Solution

The fourth proportional to 101,712.36, 140,371.35 and 56,404.55 is: 77,842.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,712.36 : 140,371.35 = 56,404.55 : x
  2. Step 2: Convert to fraction form
    101,712.36/140,371.35 = 56,404.55/x
  3. Step 3: Cross multiply
    101,712.36x = 140,371.35 × 56,404.55
  4. Step 4: Simplify right side
    101,712.36x = 7,917,582,829.64
  5. Step 5: Solve for x
    x = 7,917,582,829.64/101,712.36
  6. Step 6: Final answer
    x = 77,842.88

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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.