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Finding the Fourth Proportional to 64,969, 89,657.27 and 35,161

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Solution

The fourth proportional to 64,969, 89,657.27 and 35,161 is: 48,522.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,969 : 89,657.27 = 35,161 : x
  2. Step 2: Convert to fraction form
    64,969/89,657.27 = 35,161/x
  3. Step 3: Cross multiply
    64,969x = 89,657.27 × 35,161
  4. Step 4: Simplify right side
    64,969x = 3,152,439,270.47
  5. Step 5: Solve for x
    x = 3,152,439,270.47/64,969
  6. Step 6: Final answer
    x = 48,522.21

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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.