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Finding the Fourth Proportional to 71,516, 107,702.26 and 65,131.52

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Solution

The fourth proportional to 71,516, 107,702.26 and 65,131.52 is: 98,087.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,516 : 107,702.26 = 65,131.52 : x
  2. Step 2: Convert to fraction form
    71,516/107,702.26 = 65,131.52/x
  3. Step 3: Cross multiply
    71,516x = 107,702.26 × 65,131.52
  4. Step 4: Simplify right side
    71,516x = 7,014,811,901.24
  5. Step 5: Solve for x
    x = 7,014,811,901.24/71,516
  6. Step 6: Final answer
    x = 98,087.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.