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Finding the Fourth Proportional to 127,838.20, 191,843.70 and 71,678.20

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Solution

The fourth proportional to 127,838.20, 191,843.70 and 71,678.20 is: 107,565.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,838.20 : 191,843.70 = 71,678.20 : x
  2. Step 2: Convert to fraction form
    127,838.20/191,843.70 = 71,678.20/x
  3. Step 3: Cross multiply
    127,838.20x = 191,843.70 × 71,678.20
  4. Step 4: Simplify right side
    127,838.20x = 13,751,011,097.34
  5. Step 5: Solve for x
    x = 13,751,011,097.34/127,838.20
  6. Step 6: Final answer
    x = 107,565.74

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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.