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Finding the Fourth Proportional to 150,462, 207,637.92 and 83,394

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Solution

The fourth proportional to 150,462, 207,637.92 and 83,394 is: 115,083.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,462 : 207,637.92 = 83,394 : x
  2. Step 2: Convert to fraction form
    150,462/207,637.92 = 83,394/x
  3. Step 3: Cross multiply
    150,462x = 207,637.92 × 83,394
  4. Step 4: Simplify right side
    150,462x = 17,315,756,700.48
  5. Step 5: Solve for x
    x = 17,315,756,700.48/150,462
  6. Step 6: Final answer
    x = 115,083.92

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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.