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Finding the Fourth Proportional to 272,820.62, 409,254.93 and 83,323.76

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Solution

The fourth proportional to 272,820.62, 409,254.93 and 83,323.76 is: 124,992.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,820.62 : 409,254.93 = 83,323.76 : x
  2. Step 2: Convert to fraction form
    272,820.62/409,254.93 = 83,323.76/x
  3. Step 3: Cross multiply
    272,820.62x = 409,254.93 × 83,323.76
  4. Step 4: Simplify right side
    272,820.62x = 34,100,657,519.86
  5. Step 5: Solve for x
    x = 34,100,657,519.86/272,820.62
  6. Step 6: Final answer
    x = 124,992.96

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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.