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Finding the Fourth Proportional to 147,356.57, 203,352.06 and 80,288.57

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Solution

The fourth proportional to 147,356.57, 203,352.06 and 80,288.57 is: 110,798.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,356.57 : 203,352.06 = 80,288.57 : x
  2. Step 2: Convert to fraction form
    147,356.57/203,352.06 = 80,288.57/x
  3. Step 3: Cross multiply
    147,356.57x = 203,352.06 × 80,288.57
  4. Step 4: Simplify right side
    147,356.57x = 16,326,845,087.19
  5. Step 5: Solve for x
    x = 16,326,845,087.19/147,356.57
  6. Step 6: Final answer
    x = 110,798.22

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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.