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Finding the Fourth Proportional to 255,970.80, 383,965.92 and 98,215.20

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Solution

The fourth proportional to 255,970.80, 383,965.92 and 98,215.20 is: 147,326.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,970.80 : 383,965.92 = 98,215.20 : x
  2. Step 2: Convert to fraction form
    255,970.80/383,965.92 = 98,215.20/x
  3. Step 3: Cross multiply
    255,970.80x = 383,965.92 × 98,215.20
  4. Step 4: Simplify right side
    255,970.80x = 37,711,289,625.98
  5. Step 5: Solve for x
    x = 37,711,289,625.98/255,970.80
  6. Step 6: Final answer
    x = 147,326.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.