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Finding the Fourth Proportional to 66,115, 99,106.89 and 30,991.78

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Solution

The fourth proportional to 66,115, 99,106.89 and 30,991.78 is: 46,456.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,115 : 99,106.89 = 30,991.78 : x
  2. Step 2: Convert to fraction form
    66,115/99,106.89 = 30,991.78/x
  3. Step 3: Cross multiply
    66,115x = 99,106.89 × 30,991.78
  4. Step 4: Simplify right side
    66,115x = 3,071,498,931.36
  5. Step 5: Solve for x
    x = 3,071,498,931.36/66,115
  6. Step 6: Final answer
    x = 46,456.91

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1.5x scale

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.