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Finding the Fourth Proportional to 127,820.70, 191,731.05 and 48,894.30

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Solution

The fourth proportional to 127,820.70, 191,731.05 and 48,894.30 is: 73,341.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,820.70 : 191,731.05 = 48,894.30 : x
  2. Step 2: Convert to fraction form
    127,820.70/191,731.05 = 48,894.30/x
  3. Step 3: Cross multiply
    127,820.70x = 191,731.05 × 48,894.30
  4. Step 4: Simplify right side
    127,820.70x = 9,374,555,478.02
  5. Step 5: Solve for x
    x = 9,374,555,478.02/127,820.70
  6. Step 6: Final answer
    x = 73,341.45

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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.