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Finding the Fourth Proportional to 188,465.52, 260,081.64 and 103,586.16

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Solution

The fourth proportional to 188,465.52, 260,081.64 and 103,586.16 is: 142,948.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,465.52 : 260,081.64 = 103,586.16 : x
  2. Step 2: Convert to fraction form
    188,465.52/260,081.64 = 103,586.16/x
  3. Step 3: Cross multiply
    188,465.52x = 260,081.64 × 103,586.16
  4. Step 4: Simplify right side
    188,465.52x = 26,940,858,374.10
  5. Step 5: Solve for x
    x = 26,940,858,374.10/188,465.52
  6. Step 6: Final answer
    x = 142,948.47

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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.