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Finding the Fourth Proportional to 109,409.74, 150,981.06 and 61,673.00

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Solution

The fourth proportional to 109,409.74, 150,981.06 and 61,673.00 is: 85,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,409.74 : 150,981.06 = 61,673.00 : x
  2. Step 2: Convert to fraction form
    109,409.74/150,981.06 = 61,673.00/x
  3. Step 3: Cross multiply
    109,409.74x = 150,981.06 × 61,673.00
  4. Step 4: Simplify right side
    109,409.74x = 9,311,454,389.75
  5. Step 5: Solve for x
    x = 9,311,454,389.75/109,409.74
  6. Step 6: Final answer
    x = 85,106.27

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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.