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Finding the Fourth Proportional to 127,742.34, 191,636.02 and 52,820.50

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Solution

The fourth proportional to 127,742.34, 191,636.02 and 52,820.50 is: 79,240.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,742.34 : 191,636.02 = 52,820.50 : x
  2. Step 2: Convert to fraction form
    127,742.34/191,636.02 = 52,820.50/x
  3. Step 3: Cross multiply
    127,742.34x = 191,636.02 × 52,820.50
  4. Step 4: Simplify right side
    127,742.34x = 10,122,310,394.41
  5. Step 5: Solve for x
    x = 10,122,310,394.41/127,742.34
  6. Step 6: Final answer
    x = 79,240.06

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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.