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Finding the Fourth Proportional to 150,494.64, 207,684.32 and 85,972.47

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Solution

The fourth proportional to 150,494.64, 207,684.32 and 85,972.47 is: 118,642.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,494.64 : 207,684.32 = 85,972.47 : x
  2. Step 2: Convert to fraction form
    150,494.64/207,684.32 = 85,972.47/x
  3. Step 3: Cross multiply
    150,494.64x = 207,684.32 × 85,972.47
  4. Step 4: Simplify right side
    150,494.64x = 17,855,133,540.81
  5. Step 5: Solve for x
    x = 17,855,133,540.81/150,494.64
  6. Step 6: Final answer
    x = 118,642.99

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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.