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Finding the Fourth Proportional to 76,530.29, 114,797.59 and 21,126.29

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Solution

The fourth proportional to 76,530.29, 114,797.59 and 21,126.29 is: 31,690.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,530.29 : 114,797.59 = 21,126.29 : x
  2. Step 2: Convert to fraction form
    76,530.29/114,797.59 = 21,126.29/x
  3. Step 3: Cross multiply
    76,530.29x = 114,797.59 × 21,126.29
  4. Step 4: Simplify right side
    76,530.29x = 2,425,246,550.84
  5. Step 5: Solve for x
    x = 2,425,246,550.84/76,530.29
  6. Step 6: Final answer
    x = 31,690.02

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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.