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Finding the Fourth Proportional to 68,603.10, 102,904.65 and 29,147.10

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Solution

The fourth proportional to 68,603.10, 102,904.65 and 29,147.10 is: 43,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,603.10 : 102,904.65 = 29,147.10 : x
  2. Step 2: Convert to fraction form
    68,603.10/102,904.65 = 29,147.10/x
  3. Step 3: Cross multiply
    68,603.10x = 102,904.65 × 29,147.10
  4. Step 4: Simplify right side
    68,603.10x = 2,999,372,124.02
  5. Step 5: Solve for x
    x = 2,999,372,124.02/68,603.10
  6. Step 6: Final answer
    x = 43,720.65

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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.