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Finding the Fourth Proportional to 126,784, 174,961.26 and 69,422.28

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Solution

The fourth proportional to 126,784, 174,961.26 and 69,422.28 is: 95,802.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,784 : 174,961.26 = 69,422.28 : x
  2. Step 2: Convert to fraction form
    126,784/174,961.26 = 69,422.28/x
  3. Step 3: Cross multiply
    126,784x = 174,961.26 × 69,422.28
  4. Step 4: Simplify right side
    126,784x = 12,146,209,580.87
  5. Step 5: Solve for x
    x = 12,146,209,580.87/126,784
  6. Step 6: Final answer
    x = 95,802.39

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1.5x scale

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.