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Finding the Fourth Proportional to 150,415.12, 207,581.16 and 83,345.68

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Solution

The fourth proportional to 150,415.12, 207,581.16 and 83,345.68 is: 115,021.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,415.12 : 207,581.16 = 83,345.68 : x
  2. Step 2: Convert to fraction form
    150,415.12/207,581.16 = 83,345.68/x
  3. Step 3: Cross multiply
    150,415.12x = 207,581.16 × 83,345.68
  4. Step 4: Simplify right side
    150,415.12x = 17,300,992,935.39
  5. Step 5: Solve for x
    x = 17,300,992,935.39/150,415.12
  6. Step 6: Final answer
    x = 115,021.63

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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.