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Finding the Fourth Proportional to 218,509.85, 328,071.44 and 111,970.36

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Solution

The fourth proportional to 218,509.85, 328,071.44 and 111,970.36 is: 168,112.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,509.85 : 328,071.44 = 111,970.36 : x
  2. Step 2: Convert to fraction form
    218,509.85/328,071.44 = 111,970.36/x
  3. Step 3: Cross multiply
    218,509.85x = 328,071.44 × 111,970.36
  4. Step 4: Simplify right side
    218,509.85x = 36,734,275,862.49
  5. Step 5: Solve for x
    x = 36,734,275,862.49/218,509.85
  6. Step 6: Final answer
    x = 168,112.68

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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.