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Finding the Fourth Proportional to 138,878.86, 191,652.76 and 75,216.66

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Solution

The fourth proportional to 138,878.86, 191,652.76 and 75,216.66 is: 103,798.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,878.86 : 191,652.76 = 75,216.66 : x
  2. Step 2: Convert to fraction form
    138,878.86/191,652.76 = 75,216.66/x
  3. Step 3: Cross multiply
    138,878.86x = 191,652.76 × 75,216.66
  4. Step 4: Simplify right side
    138,878.86x = 14,415,480,486.98
  5. Step 5: Solve for x
    x = 14,415,480,486.98/138,878.86
  6. Step 6: Final answer
    x = 103,798.95

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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.