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Finding the Fourth Proportional to 76,130.34, 114,129.87 and 36,633.12

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Solution

The fourth proportional to 76,130.34, 114,129.87 and 36,633.12 is: 54,918.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,130.34 : 114,129.87 = 36,633.12 : x
  2. Step 2: Convert to fraction form
    76,130.34/114,129.87 = 36,633.12/x
  3. Step 3: Cross multiply
    76,130.34x = 114,129.87 × 36,633.12
  4. Step 4: Simplify right side
    76,130.34x = 4,180,933,223.29
  5. Step 5: Solve for x
    x = 4,180,933,223.29/76,130.34
  6. Step 6: Final answer
    x = 54,918.09

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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.