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Finding the Fourth Proportional to 150,478.34, 207,658.79 and 82,494.08

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Solution

The fourth proportional to 150,478.34, 207,658.79 and 82,494.08 is: 113,841.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,478.34 : 207,658.79 = 82,494.08 : x
  2. Step 2: Convert to fraction form
    150,478.34/207,658.79 = 82,494.08/x
  3. Step 3: Cross multiply
    150,478.34x = 207,658.79 × 82,494.08
  4. Step 4: Simplify right side
    150,478.34x = 17,130,619,384.20
  5. Step 5: Solve for x
    x = 17,130,619,384.20/150,478.34
  6. Step 6: Final answer
    x = 113,841.10

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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.