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Finding the Fourth Proportional to 47,149, 65,065.62 and 25,929.64

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Solution

The fourth proportional to 47,149, 65,065.62 and 25,929.64 is: 35,782.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,149 : 65,065.62 = 25,929.64 : x
  2. Step 2: Convert to fraction form
    47,149/65,065.62 = 25,929.64/x
  3. Step 3: Cross multiply
    47,149x = 65,065.62 × 25,929.64
  4. Step 4: Simplify right side
    47,149x = 1,687,128,102.98
  5. Step 5: Solve for x
    x = 1,687,128,102.98/47,149
  6. Step 6: Final answer
    x = 35,782.90

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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.