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Finding the Fourth Proportional to 45,546, 68,354.28 and 31,603.92

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Solution

The fourth proportional to 45,546, 68,354.28 and 31,603.92 is: 47,430.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,546 : 68,354.28 = 31,603.92 : x
  2. Step 2: Convert to fraction form
    45,546/68,354.28 = 31,603.92/x
  3. Step 3: Cross multiply
    45,546x = 68,354.28 × 31,603.92
  4. Step 4: Simplify right side
    45,546x = 2,160,263,196.78
  5. Step 5: Solve for x
    x = 2,160,263,196.78/45,546
  6. Step 6: Final answer
    x = 47,430.36

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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.