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Finding the Fourth Proportional to 288,066, 432,097.72 and 77,724.88

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Solution

The fourth proportional to 288,066, 432,097.72 and 77,724.88 is: 116,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,066 : 432,097.72 = 77,724.88 : x
  2. Step 2: Convert to fraction form
    288,066/432,097.72 = 77,724.88/x
  3. Step 3: Cross multiply
    288,066x = 432,097.72 × 77,724.88
  4. Step 4: Simplify right side
    288,066x = 33,584,743,435.27
  5. Step 5: Solve for x
    x = 33,584,743,435.27/288,066
  6. Step 6: Final answer
    x = 116,586.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.