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Finding the Fourth Proportional to 104,165.79, 143,748.72 and 56,419.17

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Solution

The fourth proportional to 104,165.79, 143,748.72 and 56,419.17 is: 77,858.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,165.79 : 143,748.72 = 56,419.17 : x
  2. Step 2: Convert to fraction form
    104,165.79/143,748.72 = 56,419.17/x
  3. Step 3: Cross multiply
    104,165.79x = 143,748.72 × 56,419.17
  4. Step 4: Simplify right side
    104,165.79x = 8,110,183,470.96
  5. Step 5: Solve for x
    x = 8,110,183,470.96/104,165.79
  6. Step 6: Final answer
    x = 77,858.42

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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.