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Finding the Fourth Proportional to 255,907.43, 353,152.29 and 142,730.18

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Solution

The fourth proportional to 255,907.43, 353,152.29 and 142,730.18 is: 196,967.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,907.43 : 353,152.29 = 142,730.18 : x
  2. Step 2: Convert to fraction form
    255,907.43/353,152.29 = 142,730.18/x
  3. Step 3: Cross multiply
    255,907.43x = 353,152.29 × 142,730.18
  4. Step 4: Simplify right side
    255,907.43x = 50,405,489,919.11
  5. Step 5: Solve for x
    x = 50,405,489,919.11/255,907.43
  6. Step 6: Final answer
    x = 196,967.67

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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.