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Finding the Fourth Proportional to 218,959.80, 301,751.64 and 158,427.96

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Solution

The fourth proportional to 218,959.80, 301,751.64 and 158,427.96 is: 218,331.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,959.80 : 301,751.64 = 158,427.96 : x
  2. Step 2: Convert to fraction form
    218,959.80/301,751.64 = 158,427.96/x
  3. Step 3: Cross multiply
    218,959.80x = 301,751.64 × 158,427.96
  4. Step 4: Simplify right side
    218,959.80x = 47,805,896,751.85
  5. Step 5: Solve for x
    x = 47,805,896,751.85/218,959.80
  6. Step 6: Final answer
    x = 218,331.84

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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.