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Finding the Fourth Proportional to 76,506.80, 114,565.80 and 73,007.60

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Solution

The fourth proportional to 76,506.80, 114,565.80 and 73,007.60 is: 109,325.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,506.80 : 114,565.80 = 73,007.60 : x
  2. Step 2: Convert to fraction form
    76,506.80/114,565.80 = 73,007.60/x
  3. Step 3: Cross multiply
    76,506.80x = 114,565.80 × 73,007.60
  4. Step 4: Simplify right side
    76,506.80x = 8,364,174,100.08
  5. Step 5: Solve for x
    x = 8,364,174,100.08/76,506.80
  6. Step 6: Final answer
    x = 109,325.89

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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.