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Finding the Fourth Proportional to 150,557.16, 207,768.90 and 83,489.16

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Solution

The fourth proportional to 150,557.16, 207,768.90 and 83,489.16 is: 115,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,557.16 : 207,768.90 = 83,489.16 : x
  2. Step 2: Convert to fraction form
    150,557.16/207,768.90 = 83,489.16/x
  3. Step 3: Cross multiply
    150,557.16x = 207,768.90 × 83,489.16
  4. Step 4: Simplify right side
    150,557.16x = 17,346,450,935.12
  5. Step 5: Solve for x
    x = 17,346,450,935.12/150,557.16
  6. Step 6: Final answer
    x = 115,215.05

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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.