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Finding the Fourth Proportional to 255,895.07, 353,021.08 and 148,402.80

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Solution

The fourth proportional to 255,895.07, 353,021.08 and 148,402.80 is: 204,729.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,895.07 : 353,021.08 = 148,402.80 : x
  2. Step 2: Convert to fraction form
    255,895.07/353,021.08 = 148,402.80/x
  3. Step 3: Cross multiply
    255,895.07x = 353,021.08 × 148,402.80
  4. Step 4: Simplify right side
    255,895.07x = 52,389,315,989.01
  5. Step 5: Solve for x
    x = 52,389,315,989.01/255,895.07
  6. Step 6: Final answer
    x = 204,729.68

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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.