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Finding the Fourth Proportional to 194,709.75, 268,699.47 and 105,285.75

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Solution

The fourth proportional to 194,709.75, 268,699.47 and 105,285.75 is: 145,294.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,709.75 : 268,699.47 = 105,285.75 : x
  2. Step 2: Convert to fraction form
    194,709.75/268,699.47 = 105,285.75/x
  3. Step 3: Cross multiply
    194,709.75x = 268,699.47 × 105,285.75
  4. Step 4: Simplify right side
    194,709.75x = 28,290,225,223.55
  5. Step 5: Solve for x
    x = 28,290,225,223.55/194,709.75
  6. Step 6: Final answer
    x = 145,294.34

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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.