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Finding the Fourth Proportional to 201,842.75, 278,543 and 117,009.02

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Solution

The fourth proportional to 201,842.75, 278,543 and 117,009.02 is: 161,472.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,842.75 : 278,543 = 117,009.02 : x
  2. Step 2: Convert to fraction form
    201,842.75/278,543 = 117,009.02/x
  3. Step 3: Cross multiply
    201,842.75x = 278,543 × 117,009.02
  4. Step 4: Simplify right side
    201,842.75x = 32,592,043,457.86
  5. Step 5: Solve for x
    x = 32,592,043,457.86/201,842.75
  6. Step 6: Final answer
    x = 161,472.45

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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.