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Finding the Fourth Proportional to 209,505.28, 289,084.80 and 120,064

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Solution

The fourth proportional to 209,505.28, 289,084.80 and 120,064 is: 165,669.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,505.28 : 289,084.80 = 120,064 : x
  2. Step 2: Convert to fraction form
    209,505.28/289,084.80 = 120,064/x
  3. Step 3: Cross multiply
    209,505.28x = 289,084.80 × 120,064
  4. Step 4: Simplify right side
    209,505.28x = 34,708,677,427.20
  5. Step 5: Solve for x
    x = 34,708,677,427.20/209,505.28
  6. Step 6: Final answer
    x = 165,669.70

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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.