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Finding the Fourth Proportional to 142,803.10, 214,204.65 and 72,819.10

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Solution

The fourth proportional to 142,803.10, 214,204.65 and 72,819.10 is: 109,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,803.10 : 214,204.65 = 72,819.10 : x
  2. Step 2: Convert to fraction form
    142,803.10/214,204.65 = 72,819.10/x
  3. Step 3: Cross multiply
    142,803.10x = 214,204.65 × 72,819.10
  4. Step 4: Simplify right side
    142,803.10x = 15,598,189,828.82
  5. Step 5: Solve for x
    x = 15,598,189,828.82/142,803.10
  6. Step 6: Final answer
    x = 109,228.65

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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.