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Finding the Fourth Proportional to 145,602.86, 200,898.70 and 81,917.42

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Solution

The fourth proportional to 145,602.86, 200,898.70 and 81,917.42 is: 113,027.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,602.86 : 200,898.70 = 81,917.42 : x
  2. Step 2: Convert to fraction form
    145,602.86/200,898.70 = 81,917.42/x
  3. Step 3: Cross multiply
    145,602.86x = 200,898.70 × 81,917.42
  4. Step 4: Simplify right side
    145,602.86x = 16,457,101,976.07
  5. Step 5: Solve for x
    x = 16,457,101,976.07/145,602.86
  6. Step 6: Final answer
    x = 113,027.33

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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.