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Finding the Fourth Proportional to 81,930.30, 114,935.70 and 81,930.30

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Solution

The fourth proportional to 81,930.30, 114,935.70 and 81,930.30 is: 114,935.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,930.30 : 114,935.70 = 81,930.30 : x
  2. Step 2: Convert to fraction form
    81,930.30/114,935.70 = 81,930.30/x
  3. Step 3: Cross multiply
    81,930.30x = 114,935.70 × 81,930.30
  4. Step 4: Simplify right side
    81,930.30x = 9,416,716,381.71
  5. Step 5: Solve for x
    x = 9,416,716,381.71/81,930.30
  6. Step 6: Final answer
    x = 114,935.70

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.