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Finding the Fourth Proportional to 288,065, 432,096.22 and 77,723.88

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Solution

The fourth proportional to 288,065, 432,096.22 and 77,723.88 is: 116,585.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,065 : 432,096.22 = 77,723.88 : x
  2. Step 2: Convert to fraction form
    288,065/432,096.22 = 77,723.88/x
  3. Step 3: Cross multiply
    288,065x = 432,096.22 × 77,723.88
  4. Step 4: Simplify right side
    288,065x = 33,584,194,751.73
  5. Step 5: Solve for x
    x = 33,584,194,751.73/288,065
  6. Step 6: Final answer
    x = 116,585.47

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1.5x scale

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.