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Finding the Fourth Proportional to 287,527.39, 431,086.96 and 109,884.67

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Solution

The fourth proportional to 287,527.39, 431,086.96 and 109,884.67 is: 164,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,527.39 : 431,086.96 = 109,884.67 : x
  2. Step 2: Convert to fraction form
    287,527.39/431,086.96 = 109,884.67/x
  3. Step 3: Cross multiply
    287,527.39x = 431,086.96 × 109,884.67
  4. Step 4: Simplify right side
    287,527.39x = 47,369,848,340.90
  5. Step 5: Solve for x
    x = 47,369,848,340.90/287,527.39
  6. Step 6: Final answer
    x = 164,748.99

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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.