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Finding the Fourth Proportional to 150,678.72, 207,937.44 and 83,610.72

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Solution

The fourth proportional to 150,678.72, 207,937.44 and 83,610.72 is: 115,383.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,678.72 : 207,937.44 = 83,610.72 : x
  2. Step 2: Convert to fraction form
    150,678.72/207,937.44 = 83,610.72/x
  3. Step 3: Cross multiply
    150,678.72x = 207,937.44 × 83,610.72
  4. Step 4: Simplify right side
    150,678.72x = 17,385,799,073.36
  5. Step 5: Solve for x
    x = 17,385,799,073.36/150,678.72
  6. Step 6: Final answer
    x = 115,383.24

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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.