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Finding the Fourth Proportional to 130,002, 195,003 and 31,506

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Solution

The fourth proportional to 130,002, 195,003 and 31,506 is: 47,259

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,002 : 195,003 = 31,506 : x
  2. Step 2: Convert to fraction form
    130,002/195,003 = 31,506/x
  3. Step 3: Cross multiply
    130,002x = 195,003 × 31,506
  4. Step 4: Simplify right side
    130,002x = 6,143,764,518
  5. Step 5: Solve for x
    x = 6,143,764,518/130,002
  6. Step 6: Final answer
    x = 47,259

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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.