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Finding the Fourth Proportional to 101,715.82, 140,376.13 and 56,408.00

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Solution

The fourth proportional to 101,715.82, 140,376.13 and 56,408.00 is: 77,847.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,715.82 : 140,376.13 = 56,408.00 : x
  2. Step 2: Convert to fraction form
    101,715.82/140,376.13 = 56,408.00/x
  3. Step 3: Cross multiply
    101,715.82x = 140,376.13 × 56,408.00
  4. Step 4: Simplify right side
    101,715.82x = 7,918,335,898.14
  5. Step 5: Solve for x
    x = 7,918,335,898.14/101,715.82
  6. Step 6: Final answer
    x = 77,847.64

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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.