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Finding the Fourth Proportional to 65,826.50, 90,840.63 and 36,018.50

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Solution

The fourth proportional to 65,826.50, 90,840.63 and 36,018.50 is: 49,705.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,826.50 : 90,840.63 = 36,018.50 : x
  2. Step 2: Convert to fraction form
    65,826.50/90,840.63 = 36,018.50/x
  3. Step 3: Cross multiply
    65,826.50x = 90,840.63 × 36,018.50
  4. Step 4: Simplify right side
    65,826.50x = 3,271,943,231.66
  5. Step 5: Solve for x
    x = 3,271,943,231.66/65,826.50
  6. Step 6: Final answer
    x = 49,705.56

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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.