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Finding the Fourth Proportional to 132,406.91, 182,722.39 and 71,978.07

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Solution

The fourth proportional to 132,406.91, 182,722.39 and 71,978.07 is: 99,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,406.91 : 182,722.39 = 71,978.07 : x
  2. Step 2: Convert to fraction form
    132,406.91/182,722.39 = 71,978.07/x
  3. Step 3: Cross multiply
    132,406.91x = 182,722.39 × 71,978.07
  4. Step 4: Simplify right side
    132,406.91x = 13,152,004,977.99
  5. Step 5: Solve for x
    x = 13,152,004,977.99/132,406.91
  6. Step 6: Final answer
    x = 99,330.20

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1.5x scale

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.