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Finding the Fourth Proportional to 139,006.13, 191,828.86 and 75,344.18

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Solution

The fourth proportional to 139,006.13, 191,828.86 and 75,344.18 is: 103,975.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,006.13 : 191,828.86 = 75,344.18 : x
  2. Step 2: Convert to fraction form
    139,006.13/191,828.86 = 75,344.18/x
  3. Step 3: Cross multiply
    139,006.13x = 191,828.86 × 75,344.18
  4. Step 4: Simplify right side
    139,006.13x = 14,453,187,009.53
  5. Step 5: Solve for x
    x = 14,453,187,009.53/139,006.13
  6. Step 6: Final answer
    x = 103,975.18

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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.