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Finding the Fourth Proportional to 45,487, 68,230 and 17,784.76

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Solution

The fourth proportional to 45,487, 68,230 and 17,784.76 is: 26,676.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,487 : 68,230 = 17,784.76 : x
  2. Step 2: Convert to fraction form
    45,487/68,230 = 17,784.76/x
  3. Step 3: Cross multiply
    45,487x = 68,230 × 17,784.76
  4. Step 4: Simplify right side
    45,487x = 1,213,454,174.80
  5. Step 5: Solve for x
    x = 1,213,454,174.80/45,487
  6. Step 6: Final answer
    x = 26,676.94

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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.