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Finding the Fourth Proportional to 145,974, 218,975.04 and 67,110.24

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Solution

The fourth proportional to 145,974, 218,975.04 and 67,110.24 is: 100,671.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,974 : 218,975.04 = 67,110.24 : x
  2. Step 2: Convert to fraction form
    145,974/218,975.04 = 67,110.24/x
  3. Step 3: Cross multiply
    145,974x = 218,975.04 × 67,110.24
  4. Step 4: Simplify right side
    145,974x = 14,695,467,488.41
  5. Step 5: Solve for x
    x = 14,695,467,488.41/145,974
  6. Step 6: Final answer
    x = 100,671.81

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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.