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Finding the Fourth Proportional to 127,857.66, 191,821.32 and 39,109.20

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Solution

The fourth proportional to 127,857.66, 191,821.32 and 39,109.20 is: 58,674.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,857.66 : 191,821.32 = 39,109.20 : x
  2. Step 2: Convert to fraction form
    127,857.66/191,821.32 = 39,109.20/x
  3. Step 3: Cross multiply
    127,857.66x = 191,821.32 × 39,109.20
  4. Step 4: Simplify right side
    127,857.66x = 7,501,978,368.14
  5. Step 5: Solve for x
    x = 7,501,978,368.14/127,857.66
  6. Step 6: Final answer
    x = 58,674.45

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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.