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Finding the Fourth Proportional to 147,708, 203,837.76 and 80,640

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Solution

The fourth proportional to 147,708, 203,837.76 and 80,640 is: 111,283.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,708 : 203,837.76 = 80,640 : x
  2. Step 2: Convert to fraction form
    147,708/203,837.76 = 80,640/x
  3. Step 3: Cross multiply
    147,708x = 203,837.76 × 80,640
  4. Step 4: Simplify right side
    147,708x = 16,437,476,966.40
  5. Step 5: Solve for x
    x = 16,437,476,966.40/147,708
  6. Step 6: Final answer
    x = 111,283.59

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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.