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Finding the Fourth Proportional to 127,618.86, 191,428.34 and 52,656.65

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Solution

The fourth proportional to 127,618.86, 191,428.34 and 52,656.65 is: 78,984.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,618.86 : 191,428.34 = 52,656.65 : x
  2. Step 2: Convert to fraction form
    127,618.86/191,428.34 = 52,656.65/x
  3. Step 3: Cross multiply
    127,618.86x = 191,428.34 × 52,656.65
  4. Step 4: Simplify right side
    127,618.86x = 10,079,973,879.04
  5. Step 5: Solve for x
    x = 10,079,973,879.04/127,618.86
  6. Step 6: Final answer
    x = 78,984.99

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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.