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Finding the Fourth Proportional to 213,809.96, 320,708.32 and 101,570.96

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Solution

The fourth proportional to 213,809.96, 320,708.32 and 101,570.96 is: 152,353.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,809.96 : 320,708.32 = 101,570.96 : x
  2. Step 2: Convert to fraction form
    213,809.96/320,708.32 = 101,570.96/x
  3. Step 3: Cross multiply
    213,809.96x = 320,708.32 × 101,570.96
  4. Step 4: Simplify right side
    213,809.96x = 32,574,650,084.92
  5. Step 5: Solve for x
    x = 32,574,650,084.92/213,809.96
  6. Step 6: Final answer
    x = 152,353.29

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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.