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Finding the Fourth Proportional to 108,148.24, 149,219.04 and 65,704.24

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Solution

The fourth proportional to 108,148.24, 149,219.04 and 65,704.24 is: 90,656.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,148.24 : 149,219.04 = 65,704.24 : x
  2. Step 2: Convert to fraction form
    108,148.24/149,219.04 = 65,704.24/x
  3. Step 3: Cross multiply
    108,148.24x = 149,219.04 × 65,704.24
  4. Step 4: Simplify right side
    108,148.24x = 9,804,323,616.73
  5. Step 5: Solve for x
    x = 9,804,323,616.73/108,148.24
  6. Step 6: Final answer
    x = 90,656.34

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