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Finding the Fourth Proportional to 150,120, 207,165.60 and 83,056.32

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Solution

The fourth proportional to 150,120, 207,165.60 and 83,056.32 is: 114,617.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,120 : 207,165.60 = 83,056.32 : x
  2. Step 2: Convert to fraction form
    150,120/207,165.60 = 83,056.32/x
  3. Step 3: Cross multiply
    150,120x = 207,165.60 × 83,056.32
  4. Step 4: Simplify right side
    150,120x = 17,206,412,366.59
  5. Step 5: Solve for x
    x = 17,206,412,366.59/150,120
  6. Step 6: Final answer
    x = 114,617.72

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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.