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Finding the Fourth Proportional to 223,168.32, 307,972.80 and 122,572.80

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Solution

The fourth proportional to 223,168.32, 307,972.80 and 122,572.80 is: 169,150.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,168.32 : 307,972.80 = 122,572.80 : x
  2. Step 2: Convert to fraction form
    223,168.32/307,972.80 = 122,572.80/x
  3. Step 3: Cross multiply
    223,168.32x = 307,972.80 × 122,572.80
  4. Step 4: Simplify right side
    223,168.32x = 37,749,088,419.84
  5. Step 5: Solve for x
    x = 37,749,088,419.84/223,168.32
  6. Step 6: Final answer
    x = 169,150.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.