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Finding the Fourth Proportional to 78,203.76, 117,320.22 and 50,304.93

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Solution

The fourth proportional to 78,203.76, 117,320.22 and 50,304.93 is: 75,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,203.76 : 117,320.22 = 50,304.93 : x
  2. Step 2: Convert to fraction form
    78,203.76/117,320.22 = 50,304.93/x
  3. Step 3: Cross multiply
    78,203.76x = 117,320.22 × 50,304.93
  4. Step 4: Simplify right side
    78,203.76x = 5,901,785,454.68
  5. Step 5: Solve for x
    x = 5,901,785,454.68/78,203.76
  6. Step 6: Final answer
    x = 75,466.77

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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.