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Finding the Fourth Proportional to 220,703, 304,570.14 and 120,101.72

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Solution

The fourth proportional to 220,703, 304,570.14 and 120,101.72 is: 165,740.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,703 : 304,570.14 = 120,101.72 : x
  2. Step 2: Convert to fraction form
    220,703/304,570.14 = 120,101.72/x
  3. Step 3: Cross multiply
    220,703x = 304,570.14 × 120,101.72
  4. Step 4: Simplify right side
    220,703x = 36,579,397,674.64
  5. Step 5: Solve for x
    x = 36,579,397,674.64/220,703
  6. Step 6: Final answer
    x = 165,740.37

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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.