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Finding the Fourth Proportional to 145,602.92, 200,898.78 and 81,917.48

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Solution

The fourth proportional to 145,602.92, 200,898.78 and 81,917.48 is: 113,027.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,602.92 : 200,898.78 = 81,917.48 : x
  2. Step 2: Convert to fraction form
    145,602.92/200,898.78 = 81,917.48/x
  3. Step 3: Cross multiply
    145,602.92x = 200,898.78 × 81,917.48
  4. Step 4: Simplify right side
    145,602.92x = 16,457,121,495.22
  5. Step 5: Solve for x
    x = 16,457,121,495.22/145,602.92
  6. Step 6: Final answer
    x = 113,027.42

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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.