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Finding the Fourth Proportional to 102,182.54, 140,932.01 and 66,384.08

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Solution

The fourth proportional to 102,182.54, 140,932.01 and 66,384.08 is: 91,558.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,182.54 : 140,932.01 = 66,384.08 : x
  2. Step 2: Convert to fraction form
    102,182.54/140,932.01 = 66,384.08/x
  3. Step 3: Cross multiply
    102,182.54x = 140,932.01 × 66,384.08
  4. Step 4: Simplify right side
    102,182.54x = 9,355,641,816.20
  5. Step 5: Solve for x
    x = 9,355,641,816.20/102,182.54
  6. Step 6: Final answer
    x = 91,558.13

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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.