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Finding the Fourth Proportional to 51,415.80, 77,129.86 and 18,128.98

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Solution

The fourth proportional to 51,415.80, 77,129.86 and 18,128.98 is: 27,195.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,415.80 : 77,129.86 = 18,128.98 : x
  2. Step 2: Convert to fraction form
    51,415.80/77,129.86 = 18,128.98/x
  3. Step 3: Cross multiply
    51,415.80x = 77,129.86 × 18,128.98
  4. Step 4: Simplify right side
    51,415.80x = 1,398,285,689.34
  5. Step 5: Solve for x
    x = 1,398,285,689.34/51,415.80
  6. Step 6: Final answer
    x = 27,195.64

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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.