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Finding the Fourth Proportional to 221,883.66, 306,199.71 and 121,281.66

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Solution

The fourth proportional to 221,883.66, 306,199.71 and 121,281.66 is: 167,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,883.66 : 306,199.71 = 121,281.66 : x
  2. Step 2: Convert to fraction form
    221,883.66/306,199.71 = 121,281.66/x
  3. Step 3: Cross multiply
    221,883.66x = 306,199.71 × 121,281.66
  4. Step 4: Simplify right side
    221,883.66x = 37,136,409,120.32
  5. Step 5: Solve for x
    x = 37,136,409,120.32/221,883.66
  6. Step 6: Final answer
    x = 167,368.83

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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.