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Finding the Fourth Proportional to 285,289.80, 427,833.42 and 105,336.76

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Solution

The fourth proportional to 285,289.80, 427,833.42 and 105,336.76 is: 157,967.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,289.80 : 427,833.42 = 105,336.76 : x
  2. Step 2: Convert to fraction form
    285,289.80/427,833.42 = 105,336.76/x
  3. Step 3: Cross multiply
    285,289.80x = 427,833.42 × 105,336.76
  4. Step 4: Simplify right side
    285,289.80x = 45,066,586,282.52
  5. Step 5: Solve for x
    x = 45,066,586,282.52/285,289.80
  6. Step 6: Final answer
    x = 157,967.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.