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Finding the Fourth Proportional to 163,978.20, 245,967.30 and 149,203.80

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Solution

The fourth proportional to 163,978.20, 245,967.30 and 149,203.80 is: 223,805.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,978.20 : 245,967.30 = 149,203.80 : x
  2. Step 2: Convert to fraction form
    163,978.20/245,967.30 = 149,203.80/x
  3. Step 3: Cross multiply
    163,978.20x = 245,967.30 × 149,203.80
  4. Step 4: Simplify right side
    163,978.20x = 36,699,255,835.74
  5. Step 5: Solve for x
    x = 36,699,255,835.74/163,978.20
  6. Step 6: Final answer
    x = 223,805.70

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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.