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Finding the Fourth Proportional to 127,704, 191,586.72 and 40,152

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Solution

The fourth proportional to 127,704, 191,586.72 and 40,152 is: 60,237.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,704 : 191,586.72 = 40,152 : x
  2. Step 2: Convert to fraction form
    127,704/191,586.72 = 40,152/x
  3. Step 3: Cross multiply
    127,704x = 191,586.72 × 40,152
  4. Step 4: Simplify right side
    127,704x = 7,692,589,981.44
  5. Step 5: Solve for x
    x = 7,692,589,981.44/127,704
  6. Step 6: Final answer
    x = 60,237.66

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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.