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Finding the Fourth Proportional to 218,722.10, 328,083.15 and 118,930.10

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Solution

The fourth proportional to 218,722.10, 328,083.15 and 118,930.10 is: 178,395.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,722.10 : 328,083.15 = 118,930.10 : x
  2. Step 2: Convert to fraction form
    218,722.10/328,083.15 = 118,930.10/x
  3. Step 3: Cross multiply
    218,722.10x = 328,083.15 × 118,930.10
  4. Step 4: Simplify right side
    218,722.10x = 39,018,961,837.82
  5. Step 5: Solve for x
    x = 39,018,961,837.82/218,722.10
  6. Step 6: Final answer
    x = 178,395.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.