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Finding the Fourth Proportional to 150,393.38, 207,465.24 and 101,978.93

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Solution

The fourth proportional to 150,393.38, 207,465.24 and 101,978.93 is: 140,678.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,393.38 : 207,465.24 = 101,978.93 : x
  2. Step 2: Convert to fraction form
    150,393.38/207,465.24 = 101,978.93/x
  3. Step 3: Cross multiply
    150,393.38x = 207,465.24 × 101,978.93
  4. Step 4: Simplify right side
    150,393.38x = 21,157,083,187.39
  5. Step 5: Solve for x
    x = 21,157,083,187.39/150,393.38
  6. Step 6: Final answer
    x = 140,678.29

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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.