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Finding the Fourth Proportional to 218,751, 301,876.58 and 118,149

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Solution

The fourth proportional to 218,751, 301,876.58 and 118,149 is: 163,045.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,751 : 301,876.58 = 118,149 : x
  2. Step 2: Convert to fraction form
    218,751/301,876.58 = 118,149/x
  3. Step 3: Cross multiply
    218,751x = 301,876.58 × 118,149
  4. Step 4: Simplify right side
    218,751x = 35,666,416,345.79
  5. Step 5: Solve for x
    x = 35,666,416,345.79/218,751
  6. Step 6: Final answer
    x = 163,045.73

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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.