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Finding the Fourth Proportional to 213,046.80, 319,416.60 and 139,216.40

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Solution

The fourth proportional to 213,046.80, 319,416.60 and 139,216.40 is: 208,724.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,046.80 : 319,416.60 = 139,216.40 : x
  2. Step 2: Convert to fraction form
    213,046.80/319,416.60 = 139,216.40/x
  3. Step 3: Cross multiply
    213,046.80x = 319,416.60 × 139,216.40
  4. Step 4: Simplify right side
    213,046.80x = 44,468,029,152.24
  5. Step 5: Solve for x
    x = 44,468,029,152.24/213,046.80
  6. Step 6: Final answer
    x = 208,724.23

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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.