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Finding the Fourth Proportional to 213,518.78, 294,644.40 and 118,019.78

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Solution

The fourth proportional to 213,518.78, 294,644.40 and 118,019.78 is: 162,860.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,518.78 : 294,644.40 = 118,019.78 : x
  2. Step 2: Convert to fraction form
    213,518.78/294,644.40 = 118,019.78/x
  3. Step 3: Cross multiply
    213,518.78x = 294,644.40 × 118,019.78
  4. Step 4: Simplify right side
    213,518.78x = 34,773,867,266.23
  5. Step 5: Solve for x
    x = 34,773,867,266.23/213,518.78
  6. Step 6: Final answer
    x = 162,860.93

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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.