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Finding the Fourth Proportional to 147,574.70, 203,652.13 and 83,912.49

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Solution

The fourth proportional to 147,574.70, 203,652.13 and 83,912.49 is: 115,798.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,574.70 : 203,652.13 = 83,912.49 : x
  2. Step 2: Convert to fraction form
    147,574.70/203,652.13 = 83,912.49/x
  3. Step 3: Cross multiply
    147,574.70x = 203,652.13 × 83,912.49
  4. Step 4: Simplify right side
    147,574.70x = 17,088,957,322.10
  5. Step 5: Solve for x
    x = 17,088,957,322.10/147,574.70
  6. Step 6: Final answer
    x = 115,798.69

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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.