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Finding the Fourth Proportional to 145,902.64, 201,345.56 and 78,834.64

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Solution

The fourth proportional to 145,902.64, 201,345.56 and 78,834.64 is: 108,791.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,902.64 : 201,345.56 = 78,834.64 : x
  2. Step 2: Convert to fraction form
    145,902.64/201,345.56 = 78,834.64/x
  3. Step 3: Cross multiply
    145,902.64x = 201,345.56 × 78,834.64
  4. Step 4: Simplify right side
    145,902.64x = 15,873,004,738.20
  5. Step 5: Solve for x
    x = 15,873,004,738.20/145,902.64
  6. Step 6: Final answer
    x = 108,791.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.