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Finding the Fourth Proportional to 212,910.98, 293,819.01 and 117,420.98

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Solution

The fourth proportional to 212,910.98, 293,819.01 and 117,420.98 is: 162,041.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,910.98 : 293,819.01 = 117,420.98 : x
  2. Step 2: Convert to fraction form
    212,910.98/293,819.01 = 117,420.98/x
  3. Step 3: Cross multiply
    212,910.98x = 293,819.01 × 117,420.98
  4. Step 4: Simplify right side
    212,910.98x = 34,500,516,096.83
  5. Step 5: Solve for x
    x = 34,500,516,096.83/212,910.98
  6. Step 6: Final answer
    x = 162,041.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.