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Finding the Fourth Proportional to 138,640.40, 191,303.52 and 78,213.68

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Solution

The fourth proportional to 138,640.40, 191,303.52 and 78,213.68 is: 107,923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,640.40 : 191,303.52 = 78,213.68 : x
  2. Step 2: Convert to fraction form
    138,640.40/191,303.52 = 78,213.68/x
  3. Step 3: Cross multiply
    138,640.40x = 191,303.52 × 78,213.68
  4. Step 4: Simplify right side
    138,640.40x = 14,962,552,296.15
  5. Step 5: Solve for x
    x = 14,962,552,296.15/138,640.40
  6. Step 6: Final answer
    x = 107,923.46

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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.