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Finding the Fourth Proportional to 78,203.76, 117,215.34 and 33,785.76

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Solution

The fourth proportional to 78,203.76, 117,215.34 and 33,785.76 is: 50,639.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,203.76 : 117,215.34 = 33,785.76 : x
  2. Step 2: Convert to fraction form
    78,203.76/117,215.34 = 33,785.76/x
  3. Step 3: Cross multiply
    78,203.76x = 117,215.34 × 33,785.76
  4. Step 4: Simplify right side
    78,203.76x = 3,960,209,345.56
  5. Step 5: Solve for x
    x = 3,960,209,345.56/78,203.76
  6. Step 6: Final answer
    x = 50,639.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.