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Finding the Fourth Proportional to 150,710.64, 208,009.38 and 99,724.38

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Solution

The fourth proportional to 150,710.64, 208,009.38 and 99,724.38 is: 137,638.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,710.64 : 208,009.38 = 99,724.38 : x
  2. Step 2: Convert to fraction form
    150,710.64/208,009.38 = 99,724.38/x
  3. Step 3: Cross multiply
    150,710.64x = 208,009.38 × 99,724.38
  4. Step 4: Simplify right side
    150,710.64x = 20,743,606,454.68
  5. Step 5: Solve for x
    x = 20,743,606,454.68/150,710.64
  6. Step 6: Final answer
    x = 137,638.63

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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.