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Finding the Fourth Proportional to 51,871.63, 77,807.51 and 14,431.72

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Solution

The fourth proportional to 51,871.63, 77,807.51 and 14,431.72 is: 21,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,871.63 : 77,807.51 = 14,431.72 : x
  2. Step 2: Convert to fraction form
    51,871.63/77,807.51 = 14,431.72/x
  3. Step 3: Cross multiply
    51,871.63x = 77,807.51 × 14,431.72
  4. Step 4: Simplify right side
    51,871.63x = 1,122,896,198.22
  5. Step 5: Solve for x
    x = 1,122,896,198.22/51,871.63
  6. Step 6: Final answer
    x = 21,647.60

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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.