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Finding the Fourth Proportional to 107,117.00, 160,449.45 and 85,942.40

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Solution

The fourth proportional to 107,117.00, 160,449.45 and 85,942.40 is: 128,732.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,117.00 : 160,449.45 = 85,942.40 : x
  2. Step 2: Convert to fraction form
    107,117.00/160,449.45 = 85,942.40/x
  3. Step 3: Cross multiply
    107,117.00x = 160,449.45 × 85,942.40
  4. Step 4: Simplify right side
    107,117.00x = 13,789,410,009.43
  5. Step 5: Solve for x
    x = 13,789,410,009.43/107,117.00
  6. Step 6: Final answer
    x = 128,732.23

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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.