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Finding the Fourth Proportional to 150,006.40, 207,009.04 and 82,023.68

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Solution

The fourth proportional to 150,006.40, 207,009.04 and 82,023.68 is: 113,192.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,006.40 : 207,009.04 = 82,023.68 : x
  2. Step 2: Convert to fraction form
    150,006.40/207,009.04 = 82,023.68/x
  3. Step 3: Cross multiply
    150,006.40x = 207,009.04 × 82,023.68
  4. Step 4: Simplify right side
    150,006.40x = 16,979,643,254.07
  5. Step 5: Solve for x
    x = 16,979,643,254.07/150,006.40
  6. Step 6: Final answer
    x = 113,192.79

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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.