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Finding the Fourth Proportional to 220,965, 304,931.70 and 120,363

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Solution

The fourth proportional to 220,965, 304,931.70 and 120,363 is: 166,100.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,965 : 304,931.70 = 120,363 : x
  2. Step 2: Convert to fraction form
    220,965/304,931.70 = 120,363/x
  3. Step 3: Cross multiply
    220,965x = 304,931.70 × 120,363
  4. Step 4: Simplify right side
    220,965x = 36,702,494,207.10
  5. Step 5: Solve for x
    x = 36,702,494,207.10/220,965
  6. Step 6: Final answer
    x = 166,100.94

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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.