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Finding the Fourth Proportional to 213,075.27, 319,664.93 and 70,920.27

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Solution

The fourth proportional to 213,075.27, 319,664.93 and 70,920.27 is: 106,397.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,075.27 : 319,664.93 = 70,920.27 : x
  2. Step 2: Convert to fraction form
    213,075.27/319,664.93 = 70,920.27/x
  3. Step 3: Cross multiply
    213,075.27x = 319,664.93 × 70,920.27
  4. Step 4: Simplify right side
    213,075.27x = 22,670,722,790.53
  5. Step 5: Solve for x
    x = 22,670,722,790.53/213,075.27
  6. Step 6: Final answer
    x = 106,397.72

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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.