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Finding the Fourth Proportional to 225,582.82, 311,290.87 and 123,587.98

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Solution

The fourth proportional to 225,582.82, 311,290.87 and 123,587.98 is: 170,544.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,582.82 : 311,290.87 = 123,587.98 : x
  2. Step 2: Convert to fraction form
    225,582.82/311,290.87 = 123,587.98/x
  3. Step 3: Cross multiply
    225,582.82x = 311,290.87 × 123,587.98
  4. Step 4: Simplify right side
    225,582.82x = 38,471,807,950.32
  5. Step 5: Solve for x
    x = 38,471,807,950.32/225,582.82
  6. Step 6: Final answer
    x = 170,544.05

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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.