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Finding the Fourth Proportional to 150,719.64, 208,003.61 and 99,643.64

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Solution

The fourth proportional to 150,719.64, 208,003.61 and 99,643.64 is: 137,515.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,719.64 : 208,003.61 = 99,643.64 : x
  2. Step 2: Convert to fraction form
    150,719.64/208,003.61 = 99,643.64/x
  3. Step 3: Cross multiply
    150,719.64x = 208,003.61 × 99,643.64
  4. Step 4: Simplify right side
    150,719.64x = 20,726,236,042.63
  5. Step 5: Solve for x
    x = 20,726,236,042.63/150,719.64
  6. Step 6: Final answer
    x = 137,515.17

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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.