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Finding the Fourth Proportional to 150,642, 207,895.68 and 83,574

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Solution

The fourth proportional to 150,642, 207,895.68 and 83,574 is: 115,337.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,642 : 207,895.68 = 83,574 : x
  2. Step 2: Convert to fraction form
    150,642/207,895.68 = 83,574/x
  3. Step 3: Cross multiply
    150,642x = 207,895.68 × 83,574
  4. Step 4: Simplify right side
    150,642x = 17,374,673,560.32
  5. Step 5: Solve for x
    x = 17,374,673,560.32/150,642
  6. Step 6: Final answer
    x = 115,337.51

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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.