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Finding the Fourth Proportional to 220,988.63, 304,964.31 and 120,386.63

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Solution

The fourth proportional to 220,988.63, 304,964.31 and 120,386.63 is: 166,133.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,988.63 : 304,964.31 = 120,386.63 : x
  2. Step 2: Convert to fraction form
    220,988.63/304,964.31 = 120,386.63/x
  3. Step 3: Cross multiply
    220,988.63x = 304,964.31 × 120,386.63
  4. Step 4: Simplify right side
    220,988.63x = 36,713,624,026.35
  5. Step 5: Solve for x
    x = 36,713,624,026.35/220,988.63
  6. Step 6: Final answer
    x = 166,133.55

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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.