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Finding the Fourth Proportional to 127,878, 191,844.69 and 48,992.23

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Solution

The fourth proportional to 127,878, 191,844.69 and 48,992.23 is: 73,498.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,878 : 191,844.69 = 48,992.23 : x
  2. Step 2: Convert to fraction form
    127,878/191,844.69 = 48,992.23/x
  3. Step 3: Cross multiply
    127,878x = 191,844.69 × 48,992.23
  4. Step 4: Simplify right side
    127,878x = 9,398,899,176.76
  5. Step 5: Solve for x
    x = 9,398,899,176.76/127,878
  6. Step 6: Final answer
    x = 73,498.95

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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.