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Finding the Fourth Proportional to 187,114.86, 280,663.11 and 68,778.72

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Solution

The fourth proportional to 187,114.86, 280,663.11 and 68,778.72 is: 103,164.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,114.86 : 280,663.11 = 68,778.72 : x
  2. Step 2: Convert to fraction form
    187,114.86/280,663.11 = 68,778.72/x
  3. Step 3: Cross multiply
    187,114.86x = 280,663.11 × 68,778.72
  4. Step 4: Simplify right side
    187,114.86x = 19,303,649,457.02
  5. Step 5: Solve for x
    x = 19,303,649,457.02/187,114.86
  6. Step 6: Final answer
    x = 103,164.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.