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Finding the Fourth Proportional to 223,516.57, 308,454.48 and 121,541.89

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Solution

The fourth proportional to 223,516.57, 308,454.48 and 121,541.89 is: 167,728.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,516.57 : 308,454.48 = 121,541.89 : x
  2. Step 2: Convert to fraction form
    223,516.57/308,454.48 = 121,541.89/x
  3. Step 3: Cross multiply
    223,516.57x = 308,454.48 × 121,541.89
  4. Step 4: Simplify right side
    223,516.57x = 37,490,140,478.17
  5. Step 5: Solve for x
    x = 37,490,140,478.17/223,516.57
  6. Step 6: Final answer
    x = 167,728.69

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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.