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Finding the Fourth Proportional to 90,054.34, 135,071.43 and 34,611.46

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Solution

The fourth proportional to 90,054.34, 135,071.43 and 34,611.46 is: 51,913.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,054.34 : 135,071.43 = 34,611.46 : x
  2. Step 2: Convert to fraction form
    90,054.34/135,071.43 = 34,611.46/x
  3. Step 3: Cross multiply
    90,054.34x = 135,071.43 × 34,611.46
  4. Step 4: Simplify right side
    90,054.34x = 4,675,019,396.59
  5. Step 5: Solve for x
    x = 4,675,019,396.59/90,054.34
  6. Step 6: Final answer
    x = 51,913.32

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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.