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Finding the Fourth Proportional to 213,085.76, 319,680.68 and 70,930.76

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Solution

The fourth proportional to 213,085.76, 319,680.68 and 70,930.76 is: 106,413.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,085.76 : 319,680.68 = 70,930.76 : x
  2. Step 2: Convert to fraction form
    213,085.76/319,680.68 = 70,930.76/x
  3. Step 3: Cross multiply
    213,085.76x = 319,680.68 × 70,930.76
  4. Step 4: Simplify right side
    213,085.76x = 22,675,191,636.66
  5. Step 5: Solve for x
    x = 22,675,191,636.66/213,085.76
  6. Step 6: Final answer
    x = 106,413.46

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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.