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Finding the Fourth Proportional to 154,759, 213,567.42 and 84,103

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Solution

The fourth proportional to 154,759, 213,567.42 and 84,103 is: 116,062.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,759 : 213,567.42 = 84,103 : x
  2. Step 2: Convert to fraction form
    154,759/213,567.42 = 84,103/x
  3. Step 3: Cross multiply
    154,759x = 213,567.42 × 84,103
  4. Step 4: Simplify right side
    154,759x = 17,961,660,724.26
  5. Step 5: Solve for x
    x = 17,961,660,724.26/154,759
  6. Step 6: Final answer
    x = 116,062.14

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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.