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Finding the Fourth Proportional to 52,668.65, 78,808.84 and 31,621.48

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Solution

The fourth proportional to 52,668.65, 78,808.84 and 31,621.48 is: 47,315.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,668.65 : 78,808.84 = 31,621.48 : x
  2. Step 2: Convert to fraction form
    52,668.65/78,808.84 = 31,621.48/x
  3. Step 3: Cross multiply
    52,668.65x = 78,808.84 × 31,621.48
  4. Step 4: Simplify right side
    52,668.65x = 2,492,052,157.88
  5. Step 5: Solve for x
    x = 2,492,052,157.88/52,668.65
  6. Step 6: Final answer
    x = 47,315.66

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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.