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Finding the Fourth Proportional to 147,493.49, 203,558.49 and 83,840.85

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Solution

The fourth proportional to 147,493.49, 203,558.49 and 83,840.85 is: 115,710.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,493.49 : 203,558.49 = 83,840.85 : x
  2. Step 2: Convert to fraction form
    147,493.49/203,558.49 = 83,840.85/x
  3. Step 3: Cross multiply
    147,493.49x = 203,558.49 × 83,840.85
  4. Step 4: Simplify right side
    147,493.49x = 17,066,516,826.32
  5. Step 5: Solve for x
    x = 17,066,516,826.32/147,493.49
  6. Step 6: Final answer
    x = 115,710.31

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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.