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Finding the Fourth Proportional to 30,187.84, 45,222.86 and 19,768

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Solution

The fourth proportional to 30,187.84, 45,222.86 and 19,768 is: 29,613.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,187.84 : 45,222.86 = 19,768 : x
  2. Step 2: Convert to fraction form
    30,187.84/45,222.86 = 19,768/x
  3. Step 3: Cross multiply
    30,187.84x = 45,222.86 × 19,768
  4. Step 4: Simplify right side
    30,187.84x = 893,965,397.64
  5. Step 5: Solve for x
    x = 893,965,397.64/30,187.84
  6. Step 6: Final answer
    x = 29,613.43

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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.