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Finding the Fourth Proportional to 201,593.88, 278,210.97 and 115,567.11

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Solution

The fourth proportional to 201,593.88, 278,210.97 and 115,567.11 is: 159,489.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,593.88 : 278,210.97 = 115,567.11 : x
  2. Step 2: Convert to fraction form
    201,593.88/278,210.97 = 115,567.11/x
  3. Step 3: Cross multiply
    201,593.88x = 278,210.97 × 115,567.11
  4. Step 4: Simplify right side
    201,593.88x = 32,152,037,773.20
  5. Step 5: Solve for x
    x = 32,152,037,773.20/201,593.88
  6. Step 6: Final answer
    x = 159,489.16

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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.