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Finding the Fourth Proportional to 255,970.68, 353,238.48 and 142,793.28

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Solution

The fourth proportional to 255,970.68, 353,238.48 and 142,793.28 is: 197,054.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,970.68 : 353,238.48 = 142,793.28 : x
  2. Step 2: Convert to fraction form
    255,970.68/353,238.48 = 142,793.28/x
  3. Step 3: Cross multiply
    255,970.68x = 353,238.48 × 142,793.28
  4. Step 4: Simplify right side
    255,970.68x = 50,440,081,181.41
  5. Step 5: Solve for x
    x = 50,440,081,181.41/255,970.68
  6. Step 6: Final answer
    x = 197,054.14

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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.