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Finding the Fourth Proportional to 188,465.08, 260,078.78 and 103,580.32

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Solution

The fourth proportional to 188,465.08, 260,078.78 and 103,580.32 is: 142,939.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,465.08 : 260,078.78 = 103,580.32 : x
  2. Step 2: Convert to fraction form
    188,465.08/260,078.78 = 103,580.32/x
  3. Step 3: Cross multiply
    188,465.08x = 260,078.78 × 103,580.32
  4. Step 4: Simplify right side
    188,465.08x = 26,939,043,257.61
  5. Step 5: Solve for x
    x = 26,939,043,257.61/188,465.08
  6. Step 6: Final answer
    x = 142,939.18

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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.