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Finding the Fourth Proportional to 56,611.84, 78,071.04 and 36,449.28

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Solution

The fourth proportional to 56,611.84, 78,071.04 and 36,449.28 is: 50,265.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,611.84 : 78,071.04 = 36,449.28 : x
  2. Step 2: Convert to fraction form
    56,611.84/78,071.04 = 36,449.28/x
  3. Step 3: Cross multiply
    56,611.84x = 78,071.04 × 36,449.28
  4. Step 4: Simplify right side
    56,611.84x = 2,845,633,196.85
  5. Step 5: Solve for x
    x = 2,845,633,196.85/56,611.84
  6. Step 6: Final answer
    x = 50,265.69

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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.