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Finding the Fourth Proportional to 213,361.76, 320,200.12 and 101,041.76

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Solution

The fourth proportional to 213,361.76, 320,200.12 and 101,041.76 is: 151,637.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,361.76 : 320,200.12 = 101,041.76 : x
  2. Step 2: Convert to fraction form
    213,361.76/320,200.12 = 101,041.76/x
  3. Step 3: Cross multiply
    213,361.76x = 320,200.12 × 101,041.76
  4. Step 4: Simplify right side
    213,361.76x = 32,353,584,224.91
  5. Step 5: Solve for x
    x = 32,353,584,224.91/213,361.76
  6. Step 6: Final answer
    x = 151,637.22

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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.