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Finding the Fourth Proportional to 101,753.76, 140,417.64 and 56,431.08

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Solution

The fourth proportional to 101,753.76, 140,417.64 and 56,431.08 is: 77,873.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,753.76 : 140,417.64 = 56,431.08 : x
  2. Step 2: Convert to fraction form
    101,753.76/140,417.64 = 56,431.08/x
  3. Step 3: Cross multiply
    101,753.76x = 140,417.64 × 56,431.08
  4. Step 4: Simplify right side
    101,753.76x = 7,923,919,076.25
  5. Step 5: Solve for x
    x = 7,923,919,076.25/101,753.76
  6. Step 6: Final answer
    x = 77,873.48

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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.