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Finding the Fourth Proportional to 272,856.70, 409,329.85 and 85,823.10

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Solution

The fourth proportional to 272,856.70, 409,329.85 and 85,823.10 is: 128,748.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,856.70 : 409,329.85 = 85,823.10 : x
  2. Step 2: Convert to fraction form
    272,856.70/409,329.85 = 85,823.10/x
  3. Step 3: Cross multiply
    272,856.70x = 409,329.85 × 85,823.10
  4. Step 4: Simplify right side
    272,856.70x = 35,129,956,649.54
  5. Step 5: Solve for x
    x = 35,129,956,649.54/272,856.70
  6. Step 6: Final answer
    x = 128,748.74

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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.