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Finding the Fourth Proportional to 104,086.31, 143,639.46 and 56,339.64

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Solution

The fourth proportional to 104,086.31, 143,639.46 and 56,339.64 is: 77,748.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,086.31 : 143,639.46 = 56,339.64 : x
  2. Step 2: Convert to fraction form
    104,086.31/143,639.46 = 56,339.64/x
  3. Step 3: Cross multiply
    104,086.31x = 143,639.46 × 56,339.64
  4. Step 4: Simplify right side
    104,086.31x = 8,092,595,466.19
  5. Step 5: Solve for x
    x = 8,092,595,466.19/104,086.31
  6. Step 6: Final answer
    x = 77,748.90

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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.