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Finding the Fourth Proportional to 130,902, 196,353 and 32,406

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Solution

The fourth proportional to 130,902, 196,353 and 32,406 is: 48,609

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,902 : 196,353 = 32,406 : x
  2. Step 2: Convert to fraction form
    130,902/196,353 = 32,406/x
  3. Step 3: Cross multiply
    130,902x = 196,353 × 32,406
  4. Step 4: Simplify right side
    130,902x = 6,363,015,318
  5. Step 5: Solve for x
    x = 6,363,015,318/130,902
  6. Step 6: Final answer
    x = 48,609

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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.