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Finding the Fourth Proportional to 127,746.36, 191,610.63 and 47,769.12

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Solution

The fourth proportional to 127,746.36, 191,610.63 and 47,769.12 is: 71,650.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,746.36 : 191,610.63 = 47,769.12 : x
  2. Step 2: Convert to fraction form
    127,746.36/191,610.63 = 47,769.12/x
  3. Step 3: Cross multiply
    127,746.36x = 191,610.63 × 47,769.12
  4. Step 4: Simplify right side
    127,746.36x = 9,153,071,177.75
  5. Step 5: Solve for x
    x = 9,153,071,177.75/127,746.36
  6. Step 6: Final answer
    x = 71,650.35

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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.