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Finding the Fourth Proportional to 90,014.40, 135,033.60 and 30,835.20

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Solution

The fourth proportional to 90,014.40, 135,033.60 and 30,835.20 is: 46,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,014.40 : 135,033.60 = 30,835.20 : x
  2. Step 2: Convert to fraction form
    90,014.40/135,033.60 = 30,835.20/x
  3. Step 3: Cross multiply
    90,014.40x = 135,033.60 × 30,835.20
  4. Step 4: Simplify right side
    90,014.40x = 4,163,788,062.72
  5. Step 5: Solve for x
    x = 4,163,788,062.72/90,014.40
  6. Step 6: Final answer
    x = 46,256.91

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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.