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Finding the Fourth Proportional to 76,530.96, 114,802.92 and 21,126.96

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Solution

The fourth proportional to 76,530.96, 114,802.92 and 21,126.96 is: 31,692.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,530.96 : 114,802.92 = 21,126.96 : x
  2. Step 2: Convert to fraction form
    76,530.96/114,802.92 = 21,126.96/x
  3. Step 3: Cross multiply
    76,530.96x = 114,802.92 × 21,126.96
  4. Step 4: Simplify right side
    76,530.96x = 2,425,436,698.72
  5. Step 5: Solve for x
    x = 2,425,436,698.72/76,530.96
  6. Step 6: Final answer
    x = 31,692.23

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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.