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Finding the Fourth Proportional to 201,747.68, 278,412.62 and 115,709.98

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Solution

The fourth proportional to 201,747.68, 278,412.62 and 115,709.98 is: 159,680.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,747.68 : 278,412.62 = 115,709.98 : x
  2. Step 2: Convert to fraction form
    201,747.68/278,412.62 = 115,709.98/x
  3. Step 3: Cross multiply
    201,747.68x = 278,412.62 × 115,709.98
  4. Step 4: Simplify right side
    201,747.68x = 32,215,118,285.19
  5. Step 5: Solve for x
    x = 32,215,118,285.19/201,747.68
  6. Step 6: Final answer
    x = 159,680.25

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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.