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Finding the Fourth Proportional to 222,023.50, 306,399.72 and 121,421.50

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Solution

The fourth proportional to 222,023.50, 306,399.72 and 121,421.50 is: 167,565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,023.50 : 306,399.72 = 121,421.50 : x
  2. Step 2: Convert to fraction form
    222,023.50/306,399.72 = 121,421.50/x
  3. Step 3: Cross multiply
    222,023.50x = 306,399.72 × 121,421.50
  4. Step 4: Simplify right side
    222,023.50x = 37,203,513,601.98
  5. Step 5: Solve for x
    x = 37,203,513,601.98/222,023.50
  6. Step 6: Final answer
    x = 167,565.66

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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.