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Finding the Fourth Proportional to 218,780, 301,916.56 and 118,178

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Solution

The fourth proportional to 218,780, 301,916.56 and 118,178 is: 163,085.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,780 : 301,916.56 = 118,178 : x
  2. Step 2: Convert to fraction form
    218,780/301,916.56 = 118,178/x
  3. Step 3: Cross multiply
    218,780x = 301,916.56 × 118,178
  4. Step 4: Simplify right side
    218,780x = 35,679,895,227.68
  5. Step 5: Solve for x
    x = 35,679,895,227.68/218,780
  6. Step 6: Final answer
    x = 163,085.73

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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.