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Finding the Fourth Proportional to 16,099.40, 21,811.95 and 16,099.40

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Solution

The fourth proportional to 16,099.40, 21,811.95 and 16,099.40 is: 21,811.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,099.40 : 21,811.95 = 16,099.40 : x
  2. Step 2: Convert to fraction form
    16,099.40/21,811.95 = 16,099.40/x
  3. Step 3: Cross multiply
    16,099.40x = 21,811.95 × 16,099.40
  4. Step 4: Simplify right side
    16,099.40x = 351,159,307.83
  5. Step 5: Solve for x
    x = 351,159,307.83/16,099.40
  6. Step 6: Final answer
    x = 21,811.95

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.