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Finding the Fourth Proportional to 78,497.82, 117,702.99 and 25,893.18

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Solution

The fourth proportional to 78,497.82, 117,702.99 and 25,893.18 is: 38,825.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,497.82 : 117,702.99 = 25,893.18 : x
  2. Step 2: Convert to fraction form
    78,497.82/117,702.99 = 25,893.18/x
  3. Step 3: Cross multiply
    78,497.82x = 117,702.99 × 25,893.18
  4. Step 4: Simplify right side
    78,497.82x = 3,047,704,706.61
  5. Step 5: Solve for x
    x = 3,047,704,706.61/78,497.82
  6. Step 6: Final answer
    x = 38,825.34

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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.