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Finding the Fourth Proportional to 201,570.57, 278,178.87 and 115,543.86

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Solution

The fourth proportional to 201,570.57, 278,178.87 and 115,543.86 is: 159,457.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,570.57 : 278,178.87 = 115,543.86 : x
  2. Step 2: Convert to fraction form
    201,570.57/278,178.87 = 115,543.86/x
  3. Step 3: Cross multiply
    201,570.57x = 278,178.87 × 115,543.86
  4. Step 4: Simplify right side
    201,570.57x = 32,141,860,410.24
  5. Step 5: Solve for x
    x = 32,141,860,410.24/201,570.57
  6. Step 6: Final answer
    x = 159,457.11

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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.