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Finding the Fourth Proportional to 213,043.80, 319,412.10 and 139,213.40

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Solution

The fourth proportional to 213,043.80, 319,412.10 and 139,213.40 is: 208,719.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,043.80 : 319,412.10 = 139,213.40 : x
  2. Step 2: Convert to fraction form
    213,043.80/319,412.10 = 139,213.40/x
  3. Step 3: Cross multiply
    213,043.80x = 319,412.10 × 139,213.40
  4. Step 4: Simplify right side
    213,043.80x = 44,466,444,442.14
  5. Step 5: Solve for x
    x = 44,466,444,442.14/213,043.80
  6. Step 6: Final answer
    x = 208,719.73

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1.5x scale

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.