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Finding the Fourth Proportional to 61,378.50, 84,702.42 and 36,228

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Solution

The fourth proportional to 61,378.50, 84,702.42 and 36,228 is: 49,994.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,378.50 : 84,702.42 = 36,228 : x
  2. Step 2: Convert to fraction form
    61,378.50/84,702.42 = 36,228/x
  3. Step 3: Cross multiply
    61,378.50x = 84,702.42 × 36,228
  4. Step 4: Simplify right side
    61,378.50x = 3,068,599,271.76
  5. Step 5: Solve for x
    x = 3,068,599,271.76/61,378.50
  6. Step 6: Final answer
    x = 49,994.69

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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.