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Finding the Fourth Proportional to 47,808.36, 65,929.74 and 31,650.08

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Solution

The fourth proportional to 47,808.36, 65,929.74 and 31,650.08 is: 43,646.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,808.36 : 65,929.74 = 31,650.08 : x
  2. Step 2: Convert to fraction form
    47,808.36/65,929.74 = 31,650.08/x
  3. Step 3: Cross multiply
    47,808.36x = 65,929.74 × 31,650.08
  4. Step 4: Simplify right side
    47,808.36x = 2,086,681,545.38
  5. Step 5: Solve for x
    x = 2,086,681,545.38/47,808.36
  6. Step 6: Final answer
    x = 43,646.79

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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.