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Finding the Fourth Proportional to 81,696.70, 114,142.10 and 81,696.70

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Solution

The fourth proportional to 81,696.70, 114,142.10 and 81,696.70 is: 114,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,696.70 : 114,142.10 = 81,696.70 : x
  2. Step 2: Convert to fraction form
    81,696.70/114,142.10 = 81,696.70/x
  3. Step 3: Cross multiply
    81,696.70x = 114,142.10 × 81,696.70
  4. Step 4: Simplify right side
    81,696.70x = 9,325,032,901.07
  5. Step 5: Solve for x
    x = 9,325,032,901.07/81,696.70
  6. Step 6: Final answer
    x = 114,142.10

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1.5x scale

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.