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Finding the Fourth Proportional to 45,685, 63,045.30 and 25,813

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Solution

The fourth proportional to 45,685, 63,045.30 and 25,813 is: 35,621.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,685 : 63,045.30 = 25,813 : x
  2. Step 2: Convert to fraction form
    45,685/63,045.30 = 25,813/x
  3. Step 3: Cross multiply
    45,685x = 63,045.30 × 25,813
  4. Step 4: Simplify right side
    45,685x = 1,627,388,328.90
  5. Step 5: Solve for x
    x = 1,627,388,328.90/45,685
  6. Step 6: Final answer
    x = 35,621.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.