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Finding the Fourth Proportional to 127,786.59, 191,702.67 and 42,402.57

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Solution

The fourth proportional to 127,786.59, 191,702.67 and 42,402.57 is: 63,611.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,786.59 : 191,702.67 = 42,402.57 : x
  2. Step 2: Convert to fraction form
    127,786.59/191,702.67 = 42,402.57/x
  3. Step 3: Cross multiply
    127,786.59x = 191,702.67 × 42,402.57
  4. Step 4: Simplify right side
    127,786.59x = 8,128,686,510.09
  5. Step 5: Solve for x
    x = 8,128,686,510.09/127,786.59
  6. Step 6: Final answer
    x = 63,611.42

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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.