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Finding the Fourth Proportional to 189,364.84, 283,759.88 and 139,206

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Solution

The fourth proportional to 189,364.84, 283,759.88 and 139,206 is: 208,597.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,364.84 : 283,759.88 = 139,206 : x
  2. Step 2: Convert to fraction form
    189,364.84/283,759.88 = 139,206/x
  3. Step 3: Cross multiply
    189,364.84x = 283,759.88 × 139,206
  4. Step 4: Simplify right side
    189,364.84x = 39,501,077,855.28
  5. Step 5: Solve for x
    x = 39,501,077,855.28/189,364.84
  6. Step 6: Final answer
    x = 208,597.74

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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.