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Finding the Fourth Proportional to 104,239.48, 143,850.12 and 56,494

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Solution

The fourth proportional to 104,239.48, 143,850.12 and 56,494 is: 77,961.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,239.48 : 143,850.12 = 56,494 : x
  2. Step 2: Convert to fraction form
    104,239.48/143,850.12 = 56,494/x
  3. Step 3: Cross multiply
    104,239.48x = 143,850.12 × 56,494
  4. Step 4: Simplify right side
    104,239.48x = 8,126,668,679.28
  5. Step 5: Solve for x
    x = 8,126,668,679.28/104,239.48
  6. Step 6: Final answer
    x = 77,961.52

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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.