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Finding the Fourth Proportional to 104,145.53, 143,720.97 and 56,398.96

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Solution

The fourth proportional to 104,145.53, 143,720.97 and 56,398.96 is: 77,830.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,145.53 : 143,720.97 = 56,398.96 : x
  2. Step 2: Convert to fraction form
    104,145.53/143,720.97 = 56,398.96/x
  3. Step 3: Cross multiply
    104,145.53x = 143,720.97 × 56,398.96
  4. Step 4: Simplify right side
    104,145.53x = 8,105,712,519.59
  5. Step 5: Solve for x
    x = 8,105,712,519.59/104,145.53
  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.