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Finding the Fourth Proportional to 45,486, 68,228.50 and 17,783.76

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Solution

The fourth proportional to 45,486, 68,228.50 and 17,783.76 is: 26,675.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,486 : 68,228.50 = 17,783.76 : x
  2. Step 2: Convert to fraction form
    45,486/68,228.50 = 17,783.76/x
  3. Step 3: Cross multiply
    45,486x = 68,228.50 × 17,783.76
  4. Step 4: Simplify right side
    45,486x = 1,213,359,269.16
  5. Step 5: Solve for x
    x = 1,213,359,269.16/45,486
  6. Step 6: Final answer
    x = 26,675.44

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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.