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Finding the Fourth Proportional to 188,345.74, 259,918.91 and 103,462.80

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Solution

The fourth proportional to 188,345.74, 259,918.91 and 103,462.80 is: 142,779.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,345.74 : 259,918.91 = 103,462.80 : x
  2. Step 2: Convert to fraction form
    188,345.74/259,918.91 = 103,462.80/x
  3. Step 3: Cross multiply
    188,345.74x = 259,918.91 × 103,462.80
  4. Step 4: Simplify right side
    188,345.74x = 26,891,938,201.55
  5. Step 5: Solve for x
    x = 26,891,938,201.55/188,345.74
  6. Step 6: Final answer
    x = 142,779.65

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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.