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Finding the Fourth Proportional to 78,005.64, 116,965.24 and 36,429.96

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Solution

The fourth proportional to 78,005.64, 116,965.24 and 36,429.96 is: 54,624.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,005.64 : 116,965.24 = 36,429.96 : x
  2. Step 2: Convert to fraction form
    78,005.64/116,965.24 = 36,429.96/x
  3. Step 3: Cross multiply
    78,005.64x = 116,965.24 × 36,429.96
  4. Step 4: Simplify right side
    78,005.64x = 4,261,039,014.59
  5. Step 5: Solve for x
    x = 4,261,039,014.59/78,005.64
  6. Step 6: Final answer
    x = 54,624.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.