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Finding the Fourth Proportional to 147,563.28, 203,623.60 and 83,888.64

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Solution

The fourth proportional to 147,563.28, 203,623.60 and 83,888.64 is: 115,758.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,563.28 : 203,623.60 = 83,888.64 : x
  2. Step 2: Convert to fraction form
    147,563.28/203,623.60 = 83,888.64/x
  3. Step 3: Cross multiply
    147,563.28x = 203,623.60 × 83,888.64
  4. Step 4: Simplify right side
    147,563.28x = 17,081,706,875.90
  5. Step 5: Solve for x
    x = 17,081,706,875.90/147,563.28
  6. Step 6: Final answer
    x = 115,758.52

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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.