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Finding the Fourth Proportional to 147,120.97, 203,020.79 and 83,470.76

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Solution

The fourth proportional to 147,120.97, 203,020.79 and 83,470.76 is: 115,186.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,120.97 : 203,020.79 = 83,470.76 : x
  2. Step 2: Convert to fraction form
    147,120.97/203,020.79 = 83,470.76/x
  3. Step 3: Cross multiply
    147,120.97x = 203,020.79 × 83,470.76
  4. Step 4: Simplify right side
    147,120.97x = 16,946,299,637.10
  5. Step 5: Solve for x
    x = 16,946,299,637.10/147,120.97
  6. Step 6: Final answer
    x = 115,186.16

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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.