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Finding the Fourth Proportional to 101,709.42, 140,355.13 and 56,388.10

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Solution

The fourth proportional to 101,709.42, 140,355.13 and 56,388.10 is: 77,813.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,709.42 : 140,355.13 = 56,388.10 : x
  2. Step 2: Convert to fraction form
    101,709.42/140,355.13 = 56,388.10/x
  3. Step 3: Cross multiply
    101,709.42x = 140,355.13 × 56,388.10
  4. Step 4: Simplify right side
    101,709.42x = 7,914,358,982.99
  5. Step 5: Solve for x
    x = 7,914,358,982.99/101,709.42
  6. Step 6: Final answer
    x = 77,813.43

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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.