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Finding the Fourth Proportional to 147,584, 203,665.92 and 87,968

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Solution

The fourth proportional to 147,584, 203,665.92 and 87,968 is: 121,395.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,584 : 203,665.92 = 87,968 : x
  2. Step 2: Convert to fraction form
    147,584/203,665.92 = 87,968/x
  3. Step 3: Cross multiply
    147,584x = 203,665.92 × 87,968
  4. Step 4: Simplify right side
    147,584x = 17,916,083,650.56
  5. Step 5: Solve for x
    x = 17,916,083,650.56/147,584
  6. Step 6: Final answer
    x = 121,395.84

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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.