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Finding the Fourth Proportional to 127,905.09, 191,885.31 and 49,019.37

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Solution

The fourth proportional to 127,905.09, 191,885.31 and 49,019.37 is: 73,539.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,905.09 : 191,885.31 = 49,019.37 : x
  2. Step 2: Convert to fraction form
    127,905.09/191,885.31 = 49,019.37/x
  3. Step 3: Cross multiply
    127,905.09x = 191,885.31 × 49,019.37
  4. Step 4: Simplify right side
    127,905.09x = 9,406,097,008.45
  5. Step 5: Solve for x
    x = 9,406,097,008.45/127,905.09
  6. Step 6: Final answer
    x = 73,539.66

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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.