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Finding the Fourth Proportional to 150,471, 207,650.01 and 83,403

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Solution

The fourth proportional to 150,471, 207,650.01 and 83,403 is: 115,096.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,471 : 207,650.01 = 83,403 : x
  2. Step 2: Convert to fraction form
    150,471/207,650.01 = 83,403/x
  3. Step 3: Cross multiply
    150,471x = 207,650.01 × 83,403
  4. Step 4: Simplify right side
    150,471x = 17,318,633,784.03
  5. Step 5: Solve for x
    x = 17,318,633,784.03/150,471
  6. Step 6: Final answer
    x = 115,096.16

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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.