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Finding the Fourth Proportional to 138,875.86, 191,648.63 and 75,213.66

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Solution

The fourth proportional to 138,875.86, 191,648.63 and 75,213.66 is: 103,794.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,875.86 : 191,648.63 = 75,213.66 : x
  2. Step 2: Convert to fraction form
    138,875.86/191,648.63 = 75,213.66/x
  3. Step 3: Cross multiply
    138,875.86x = 191,648.63 × 75,213.66
  4. Step 4: Simplify right side
    138,875.86x = 14,414,594,896.29
  5. Step 5: Solve for x
    x = 14,414,594,896.29/138,875.86
  6. Step 6: Final answer
    x = 103,794.82

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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.