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Finding the Fourth Proportional to 112,884, 169,304.31 and 56,709.06

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Solution

The fourth proportional to 112,884, 169,304.31 and 56,709.06 is: 85,052.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,884 : 169,304.31 = 56,709.06 : x
  2. Step 2: Convert to fraction form
    112,884/169,304.31 = 56,709.06/x
  3. Step 3: Cross multiply
    112,884x = 169,304.31 × 56,709.06
  4. Step 4: Simplify right side
    112,884x = 9,601,088,274.05
  5. Step 5: Solve for x
    x = 9,601,088,274.05/112,884
  6. Step 6: Final answer
    x = 85,052.69

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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.