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Finding the Fourth Proportional to 127,512, 191,298.72 and 39,960

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Solution

The fourth proportional to 127,512, 191,298.72 and 39,960 is: 59,949.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,512 : 191,298.72 = 39,960 : x
  2. Step 2: Convert to fraction form
    127,512/191,298.72 = 39,960/x
  3. Step 3: Cross multiply
    127,512x = 191,298.72 × 39,960
  4. Step 4: Simplify right side
    127,512x = 7,644,296,851.20
  5. Step 5: Solve for x
    x = 7,644,296,851.20/127,512
  6. Step 6: Final answer
    x = 59,949.63

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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.