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Finding the Fourth Proportional to 106,200, 146,556 and 61,488

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Solution

The fourth proportional to 106,200, 146,556 and 61,488 is: 84,853.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,200 : 146,556 = 61,488 : x
  2. Step 2: Convert to fraction form
    106,200/146,556 = 61,488/x
  3. Step 3: Cross multiply
    106,200x = 146,556 × 61,488
  4. Step 4: Simplify right side
    106,200x = 9,011,435,328
  5. Step 5: Solve for x
    x = 9,011,435,328/106,200
  6. Step 6: Final answer
    x = 84,853.44

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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.