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Finding the Fourth Proportional to 213,886.03, 320,718.32 and 114,019.40

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Solution

The fourth proportional to 213,886.03, 320,718.32 and 114,019.40 is: 170,970.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,886.03 : 320,718.32 = 114,019.40 : x
  2. Step 2: Convert to fraction form
    213,886.03/320,718.32 = 114,019.40/x
  3. Step 3: Cross multiply
    213,886.03x = 320,718.32 × 114,019.40
  4. Step 4: Simplify right side
    213,886.03x = 36,568,110,415.41
  5. Step 5: Solve for x
    x = 36,568,110,415.41/213,886.03
  6. Step 6: Final answer
    x = 170,970.07

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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.