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Finding the Fourth Proportional to 30,175.84, 45,204.90 and 19,756

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Solution

The fourth proportional to 30,175.84, 45,204.90 and 19,756 is: 29,595.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,175.84 : 45,204.90 = 19,756 : x
  2. Step 2: Convert to fraction form
    30,175.84/45,204.90 = 19,756/x
  3. Step 3: Cross multiply
    30,175.84x = 45,204.90 × 19,756
  4. Step 4: Simplify right side
    30,175.84x = 893,068,004.40
  5. Step 5: Solve for x
    x = 893,068,004.40/30,175.84
  6. Step 6: Final answer
    x = 29,595.46

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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.