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Finding the Fourth Proportional to 76,355.65, 114,492.47 and 26,420.97

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Solution

The fourth proportional to 76,355.65, 114,492.47 and 26,420.97 is: 39,617.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,355.65 : 114,492.47 = 26,420.97 : x
  2. Step 2: Convert to fraction form
    76,355.65/114,492.47 = 26,420.97/x
  3. Step 3: Cross multiply
    76,355.65x = 114,492.47 × 26,420.97
  4. Step 4: Simplify right side
    76,355.65x = 3,025,002,115.10
  5. Step 5: Solve for x
    x = 3,025,002,115.10/76,355.65
  6. Step 6: Final answer
    x = 39,617.27

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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.