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Finding the Fourth Proportional to 114,321.87, 157,715.73 and 71,864.91

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Solution

The fourth proportional to 114,321.87, 157,715.73 and 71,864.91 is: 99,143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,321.87 : 157,715.73 = 71,864.91 : x
  2. Step 2: Convert to fraction form
    114,321.87/157,715.73 = 71,864.91/x
  3. Step 3: Cross multiply
    114,321.87x = 157,715.73 × 71,864.91
  4. Step 4: Simplify right side
    114,321.87x = 11,334,226,742.03
  5. Step 5: Solve for x
    x = 11,334,226,742.03/114,321.87
  6. Step 6: Final answer
    x = 99,143.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.