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Finding the Fourth Proportional to 51,762.81, 77,647.93 and 13,811.88

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Solution

The fourth proportional to 51,762.81, 77,647.93 and 13,811.88 is: 20,718.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,762.81 : 77,647.93 = 13,811.88 : x
  2. Step 2: Convert to fraction form
    51,762.81/77,647.93 = 13,811.88/x
  3. Step 3: Cross multiply
    51,762.81x = 77,647.93 × 13,811.88
  4. Step 4: Simplify right side
    51,762.81x = 1,072,463,856.88
  5. Step 5: Solve for x
    x = 1,072,463,856.88/51,762.81
  6. Step 6: Final answer
    x = 20,718.81

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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.