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Finding the Fourth Proportional to 255,885.12, 353,120.58 and 142,707.78

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Solution

The fourth proportional to 255,885.12, 353,120.58 and 142,707.78 is: 196,936.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,885.12 : 353,120.58 = 142,707.78 : x
  2. Step 2: Convert to fraction form
    255,885.12/353,120.58 = 142,707.78/x
  3. Step 3: Cross multiply
    255,885.12x = 353,120.58 × 142,707.78
  4. Step 4: Simplify right side
    255,885.12x = 50,393,054,044.11
  5. Step 5: Solve for x
    x = 50,393,054,044.11/255,885.12
  6. Step 6: Final answer
    x = 196,936.24

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1.5x scale

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.