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Finding the Fourth Proportional to 64,657.62, 89,210.07 and 37,806.72

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Solution

The fourth proportional to 64,657.62, 89,210.07 and 37,806.72 is: 52,163.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,657.62 : 89,210.07 = 37,806.72 : x
  2. Step 2: Convert to fraction form
    64,657.62/89,210.07 = 37,806.72/x
  3. Step 3: Cross multiply
    64,657.62x = 89,210.07 × 37,806.72
  4. Step 4: Simplify right side
    64,657.62x = 3,372,740,137.67
  5. Step 5: Solve for x
    x = 3,372,740,137.67/64,657.62
  6. Step 6: Final answer
    x = 52,163.07

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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.