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Finding the Fourth Proportional to 268,066.84, 369,936.47 and 145,559.13

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Solution

The fourth proportional to 268,066.84, 369,936.47 and 145,559.13 is: 200,873.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,066.84 : 369,936.47 = 145,559.13 : x
  2. Step 2: Convert to fraction form
    268,066.84/369,936.47 = 145,559.13/x
  3. Step 3: Cross multiply
    268,066.84x = 369,936.47 × 145,559.13
  4. Step 4: Simplify right side
    268,066.84x = 53,847,630,728.47
  5. Step 5: Solve for x
    x = 53,847,630,728.47/268,066.84
  6. Step 6: Final answer
    x = 200,873.90

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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.