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Finding the Fourth Proportional to 255,898.92, 353,140.98 and 142,728.96

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Solution

The fourth proportional to 255,898.92, 353,140.98 and 142,728.96 is: 196,966.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,898.92 : 353,140.98 = 142,728.96 : x
  2. Step 2: Convert to fraction form
    255,898.92/353,140.98 = 142,728.96/x
  3. Step 3: Cross multiply
    255,898.92x = 353,140.98 × 142,728.96
  4. Step 4: Simplify right side
    255,898.92x = 50,403,444,808.78
  5. Step 5: Solve for x
    x = 50,403,444,808.78/255,898.92
  6. Step 6: Final answer
    x = 196,966.23

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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.