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Finding the Fourth Proportional to 101,731.98, 140,389.44 and 56,409.94

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Solution

The fourth proportional to 101,731.98, 140,389.44 and 56,409.94 is: 77,845.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,731.98 : 140,389.44 = 56,409.94 : x
  2. Step 2: Convert to fraction form
    101,731.98/140,389.44 = 56,409.94/x
  3. Step 3: Cross multiply
    101,731.98x = 140,389.44 × 56,409.94
  4. Step 4: Simplify right side
    101,731.98x = 7,919,359,887.03
  5. Step 5: Solve for x
    x = 7,919,359,887.03/101,731.98
  6. Step 6: Final answer
    x = 77,845.33

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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.