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Finding the Fourth Proportional to 213,140.29, 319,674.10 and 70,969.45

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Solution

The fourth proportional to 213,140.29, 319,674.10 and 70,969.45 is: 106,442.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,140.29 : 319,674.10 = 70,969.45 : x
  2. Step 2: Convert to fraction form
    213,140.29/319,674.10 = 70,969.45/x
  3. Step 3: Cross multiply
    213,140.29x = 319,674.10 × 70,969.45
  4. Step 4: Simplify right side
    213,140.29x = 22,687,093,906.50
  5. Step 5: Solve for x
    x = 22,687,093,906.50/213,140.29
  6. Step 6: Final answer
    x = 106,442.07

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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.