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Finding the Fourth Proportional to 65,872.08, 90,903.12 and 35,657.22

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Solution

The fourth proportional to 65,872.08, 90,903.12 and 35,657.22 is: 49,206.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,872.08 : 90,903.12 = 35,657.22 : x
  2. Step 2: Convert to fraction form
    65,872.08/90,903.12 = 35,657.22/x
  3. Step 3: Cross multiply
    65,872.08x = 90,903.12 × 35,657.22
  4. Step 4: Simplify right side
    65,872.08x = 3,241,352,548.53
  5. Step 5: Solve for x
    x = 3,241,352,548.53/65,872.08
  6. Step 6: Final answer
    x = 49,206.77

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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.