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Finding the Fourth Proportional to 127,649.96, 191,246.52 and 71,424.62

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Solution

The fourth proportional to 127,649.96, 191,246.52 and 71,424.62 is: 107,009.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,649.96 : 191,246.52 = 71,424.62 : x
  2. Step 2: Convert to fraction form
    127,649.96/191,246.52 = 71,424.62/x
  3. Step 3: Cross multiply
    127,649.96x = 191,246.52 × 71,424.62
  4. Step 4: Simplify right side
    127,649.96x = 13,659,710,017.32
  5. Step 5: Solve for x
    x = 13,659,710,017.32/127,649.96
  6. Step 6: Final answer
    x = 107,009.12

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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.