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Finding the Fourth Proportional to 130,812, 196,219.88 and 37,317.76

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Solution

The fourth proportional to 130,812, 196,219.88 and 37,317.76 is: 55,977.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,812 : 196,219.88 = 37,317.76 : x
  2. Step 2: Convert to fraction form
    130,812/196,219.88 = 37,317.76/x
  3. Step 3: Cross multiply
    130,812x = 196,219.88 × 37,317.76
  4. Step 4: Simplify right side
    130,812x = 7,322,486,389.07
  5. Step 5: Solve for x
    x = 7,322,486,389.07/130,812
  6. Step 6: Final answer
    x = 55,977.18

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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.