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Finding the Fourth Proportional to 127,980.86, 191,999.30 and 39,241.31

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Solution

The fourth proportional to 127,980.86, 191,999.30 and 39,241.31 is: 58,870.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,980.86 : 191,999.30 = 39,241.31 : x
  2. Step 2: Convert to fraction form
    127,980.86/191,999.30 = 39,241.31/x
  3. Step 3: Cross multiply
    127,980.86x = 191,999.30 × 39,241.31
  4. Step 4: Simplify right side
    127,980.86x = 7,534,302,894.88
  5. Step 5: Solve for x
    x = 7,534,302,894.88/127,980.86
  6. Step 6: Final answer
    x = 58,870.55

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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.