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Finding the Fourth Proportional to 127,381.82, 191,007.11 and 47,386.82

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Solution

The fourth proportional to 127,381.82, 191,007.11 and 47,386.82 is: 71,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,381.82 : 191,007.11 = 47,386.82 : x
  2. Step 2: Convert to fraction form
    127,381.82/191,007.11 = 47,386.82/x
  3. Step 3: Cross multiply
    127,381.82x = 191,007.11 × 47,386.82
  4. Step 4: Simplify right side
    127,381.82x = 9,051,220,136.28
  5. Step 5: Solve for x
    x = 9,051,220,136.28/127,381.82
  6. Step 6: Final answer
    x = 71,055.83

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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.