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Finding the Fourth Proportional to 145,969.80, 218,881.74 and 67,016.64

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Solution

The fourth proportional to 145,969.80, 218,881.74 and 67,016.64 is: 100,491.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,969.80 : 218,881.74 = 67,016.64 : x
  2. Step 2: Convert to fraction form
    145,969.80/218,881.74 = 67,016.64/x
  3. Step 3: Cross multiply
    145,969.80x = 218,881.74 × 67,016.64
  4. Step 4: Simplify right side
    145,969.80x = 14,668,718,772.15
  5. Step 5: Solve for x
    x = 14,668,718,772.15/145,969.80
  6. Step 6: Final answer
    x = 100,491.46

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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.