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Finding the Fourth Proportional to 272,701.48, 409,056.30 and 85,712.92

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Solution

The fourth proportional to 272,701.48, 409,056.30 and 85,712.92 is: 128,570.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,701.48 : 409,056.30 = 85,712.92 : x
  2. Step 2: Convert to fraction form
    272,701.48/409,056.30 = 85,712.92/x
  3. Step 3: Cross multiply
    272,701.48x = 409,056.30 × 85,712.92
  4. Step 4: Simplify right side
    272,701.48x = 35,061,409,917.40
  5. Step 5: Solve for x
    x = 35,061,409,917.40/272,701.48
  6. Step 6: Final answer
    x = 128,570.66

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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.