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Finding the Fourth Proportional to 51,702.68, 77,550.94 and 18,420.98

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Solution

The fourth proportional to 51,702.68, 77,550.94 and 18,420.98 is: 27,630.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,702.68 : 77,550.94 = 18,420.98 : x
  2. Step 2: Convert to fraction form
    51,702.68/77,550.94 = 18,420.98/x
  3. Step 3: Cross multiply
    51,702.68x = 77,550.94 × 18,420.98
  4. Step 4: Simplify right side
    51,702.68x = 1,428,564,314.72
  5. Step 5: Solve for x
    x = 1,428,564,314.72/51,702.68
  6. Step 6: Final answer
    x = 27,630.37

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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.