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Finding the Fourth Proportional to 76,659.65, 114,980.39 and 20,504.10

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Solution

The fourth proportional to 76,659.65, 114,980.39 and 20,504.10 is: 30,753.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,659.65 : 114,980.39 = 20,504.10 : x
  2. Step 2: Convert to fraction form
    76,659.65/114,980.39 = 20,504.10/x
  3. Step 3: Cross multiply
    76,659.65x = 114,980.39 × 20,504.10
  4. Step 4: Simplify right side
    76,659.65x = 2,357,569,312.08
  5. Step 5: Solve for x
    x = 2,357,569,312.08/76,659.65
  6. Step 6: Final answer
    x = 30,753.72

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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.