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Finding the Fourth Proportional to 81,702.84, 112,792.92 and 54,985.80

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Solution

The fourth proportional to 81,702.84, 112,792.92 and 54,985.80 is: 75,909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,702.84 : 112,792.92 = 54,985.80 : x
  2. Step 2: Convert to fraction form
    81,702.84/112,792.92 = 54,985.80/x
  3. Step 3: Cross multiply
    81,702.84x = 112,792.92 × 54,985.80
  4. Step 4: Simplify right side
    81,702.84x = 6,202,008,940.54
  5. Step 5: Solve for x
    x = 6,202,008,940.54/81,702.84
  6. Step 6: Final answer
    x = 75,909.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.