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Finding the Fourth Proportional to 104,419.54, 144,033.42 and 61,948

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Solution

The fourth proportional to 104,419.54, 144,033.42 and 61,948 is: 85,449.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,419.54 : 144,033.42 = 61,948 : x
  2. Step 2: Convert to fraction form
    104,419.54/144,033.42 = 61,948/x
  3. Step 3: Cross multiply
    104,419.54x = 144,033.42 × 61,948
  4. Step 4: Simplify right side
    104,419.54x = 8,922,582,302.16
  5. Step 5: Solve for x
    x = 8,922,582,302.16/104,419.54
  6. Step 6: Final answer
    x = 85,449.35

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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.