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Finding the Fourth Proportional to 148,609.25, 205,080.74 and 84,948.42

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Solution

The fourth proportional to 148,609.25, 205,080.74 and 84,948.42 is: 117,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,609.25 : 205,080.74 = 84,948.42 : x
  2. Step 2: Convert to fraction form
    148,609.25/205,080.74 = 84,948.42/x
  3. Step 3: Cross multiply
    148,609.25x = 205,080.74 × 84,948.42
  4. Step 4: Simplify right side
    148,609.25x = 17,421,284,835.43
  5. Step 5: Solve for x
    x = 17,421,284,835.43/148,609.25
  6. Step 6: Final answer
    x = 117,228.81

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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.