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Finding the Fourth Proportional to 272,812.86, 409,282.47 and 85,819.50

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Solution

The fourth proportional to 272,812.86, 409,282.47 and 85,819.50 is: 128,749.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,812.86 : 409,282.47 = 85,819.50 : x
  2. Step 2: Convert to fraction form
    272,812.86/409,282.47 = 85,819.50/x
  3. Step 3: Cross multiply
    272,812.86x = 409,282.47 × 85,819.50
  4. Step 4: Simplify right side
    272,812.86x = 35,124,416,934.17
  5. Step 5: Solve for x
    x = 35,124,416,934.17/272,812.86
  6. Step 6: Final answer
    x = 128,749.12

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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.