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Finding the Fourth Proportional to 127,635.63, 191,430.87 and 47,655.64

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Solution

The fourth proportional to 127,635.63, 191,430.87 and 47,655.64 is: 71,475.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,635.63 : 191,430.87 = 47,655.64 : x
  2. Step 2: Convert to fraction form
    127,635.63/191,430.87 = 47,655.64/x
  3. Step 3: Cross multiply
    127,635.63x = 191,430.87 × 47,655.64
  4. Step 4: Simplify right side
    127,635.63x = 9,122,760,625.61
  5. Step 5: Solve for x
    x = 9,122,760,625.61/127,635.63
  6. Step 6: Final answer
    x = 71,475.03

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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.