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Finding the Fourth Proportional to 104,145.78, 143,720.89 and 56,399.12

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Solution

The fourth proportional to 104,145.78, 143,720.89 and 56,399.12 is: 77,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,145.78 : 143,720.89 = 56,399.12 : x
  2. Step 2: Convert to fraction form
    104,145.78/143,720.89 = 56,399.12/x
  3. Step 3: Cross multiply
    104,145.78x = 143,720.89 × 56,399.12
  4. Step 4: Simplify right side
    104,145.78x = 8,105,731,721.62
  5. Step 5: Solve for x
    x = 8,105,731,721.62/104,145.78
  6. Step 6: Final answer
    x = 77,830.63

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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.