Home / 52,698.24-78,958.08-31,878

Finding the Fourth Proportional to 52,698.24, 78,958.08 and 31,878

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Solution

The fourth proportional to 52,698.24, 78,958.08 and 31,878 is: 47,762.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,698.24 : 78,958.08 = 31,878 : x
  2. Step 2: Convert to fraction form
    52,698.24/78,958.08 = 31,878/x
  3. Step 3: Cross multiply
    52,698.24x = 78,958.08 × 31,878
  4. Step 4: Simplify right side
    52,698.24x = 2,517,025,674.24
  5. Step 5: Solve for x
    x = 2,517,025,674.24/52,698.24
  6. Step 6: Final answer
    x = 47,762.99

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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.