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Finding the Fourth Proportional to 45,877.74, 68,823.02 and 14,290.09

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Solution

The fourth proportional to 45,877.74, 68,823.02 and 14,290.09 is: 21,437.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,877.74 : 68,823.02 = 14,290.09 : x
  2. Step 2: Convert to fraction form
    45,877.74/68,823.02 = 14,290.09/x
  3. Step 3: Cross multiply
    45,877.74x = 68,823.02 × 14,290.09
  4. Step 4: Simplify right side
    45,877.74x = 983,486,942.09
  5. Step 5: Solve for x
    x = 983,486,942.09/45,877.74
  6. Step 6: Final answer
    x = 21,437.13

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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.