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Finding the Fourth Proportional to 285,515.21, 428,106.80 and 108,035.93

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Solution

The fourth proportional to 285,515.21, 428,106.80 and 108,035.93 is: 161,991.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,515.21 : 428,106.80 = 108,035.93 : x
  2. Step 2: Convert to fraction form
    285,515.21/428,106.80 = 108,035.93/x
  3. Step 3: Cross multiply
    285,515.21x = 428,106.80 × 108,035.93
  4. Step 4: Simplify right side
    285,515.21x = 46,250,913,596.61
  5. Step 5: Solve for x
    x = 46,250,913,596.61/285,515.21
  6. Step 6: Final answer
    x = 161,991.07

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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.