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Finding the Fourth Proportional to 127,648, 191,472 and 34,151.32

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Solution

The fourth proportional to 127,648, 191,472 and 34,151.32 is: 51,226.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,648 : 191,472 = 34,151.32 : x
  2. Step 2: Convert to fraction form
    127,648/191,472 = 34,151.32/x
  3. Step 3: Cross multiply
    127,648x = 191,472 × 34,151.32
  4. Step 4: Simplify right side
    127,648x = 6,539,021,543.04
  5. Step 5: Solve for x
    x = 6,539,021,543.04/127,648
  6. Step 6: Final answer
    x = 51,226.98

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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.