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Finding the Fourth Proportional to 147,632.52, 203,743.80 and 83,990.80

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Solution

The fourth proportional to 147,632.52, 203,743.80 and 83,990.80 is: 115,913.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,632.52 : 203,743.80 = 83,990.80 : x
  2. Step 2: Convert to fraction form
    147,632.52/203,743.80 = 83,990.80/x
  3. Step 3: Cross multiply
    147,632.52x = 203,743.80 × 83,990.80
  4. Step 4: Simplify right side
    147,632.52x = 17,112,604,757.04
  5. Step 5: Solve for x
    x = 17,112,604,757.04/147,632.52
  6. Step 6: Final answer
    x = 115,913.52

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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.