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Finding the Fourth Proportional to 135,378.16, 186,841.44 and 78,820.72

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Solution

The fourth proportional to 135,378.16, 186,841.44 and 78,820.72 is: 108,783.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,378.16 : 186,841.44 = 78,820.72 : x
  2. Step 2: Convert to fraction form
    135,378.16/186,841.44 = 78,820.72/x
  3. Step 3: Cross multiply
    135,378.16x = 186,841.44 × 78,820.72
  4. Step 4: Simplify right side
    135,378.16x = 14,726,976,826.64
  5. Step 5: Solve for x
    x = 14,726,976,826.64/135,378.16
  6. Step 6: Final answer
    x = 108,783.99

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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.