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Finding the Fourth Proportional to 199,281.51, 275,085.24 and 145,989.78

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Solution

The fourth proportional to 199,281.51, 275,085.24 and 145,989.78 is: 201,522.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,281.51 : 275,085.24 = 145,989.78 : x
  2. Step 2: Convert to fraction form
    199,281.51/275,085.24 = 145,989.78/x
  3. Step 3: Cross multiply
    199,281.51x = 275,085.24 × 145,989.78
  4. Step 4: Simplify right side
    199,281.51x = 40,159,633,668.85
  5. Step 5: Solve for x
    x = 40,159,633,668.85/199,281.51
  6. Step 6: Final answer
    x = 201,522.13

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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.