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Finding the Fourth Proportional to 127,394, 191,091.44 and 38,648.24

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Solution

The fourth proportional to 127,394, 191,091.44 and 38,648.24 is: 57,972.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,394 : 191,091.44 = 38,648.24 : x
  2. Step 2: Convert to fraction form
    127,394/191,091.44 = 38,648.24/x
  3. Step 3: Cross multiply
    127,394x = 191,091.44 × 38,648.24
  4. Step 4: Simplify right side
    127,394x = 7,385,347,835.07
  5. Step 5: Solve for x
    x = 7,385,347,835.07/127,394
  6. Step 6: Final answer
    x = 57,972.49

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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.