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Finding the Fourth Proportional to 127,312, 191,010.12 and 68,134.48

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Solution

The fourth proportional to 127,312, 191,010.12 and 68,134.48 is: 102,224.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,312 : 191,010.12 = 68,134.48 : x
  2. Step 2: Convert to fraction form
    127,312/191,010.12 = 68,134.48/x
  3. Step 3: Cross multiply
    127,312x = 191,010.12 × 68,134.48
  4. Step 4: Simplify right side
    127,312x = 13,014,375,200.94
  5. Step 5: Solve for x
    x = 13,014,375,200.94/127,312
  6. Step 6: Final answer
    x = 102,224.26

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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.