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Finding the Fourth Proportional to 188,465.58, 260,079.47 and 103,580.82

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Solution

The fourth proportional to 188,465.58, 260,079.47 and 103,580.82 is: 142,939.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,465.58 : 260,079.47 = 103,580.82 : x
  2. Step 2: Convert to fraction form
    188,465.58/260,079.47 = 103,580.82/x
  3. Step 3: Cross multiply
    188,465.58x = 260,079.47 × 103,580.82
  4. Step 4: Simplify right side
    188,465.58x = 26,939,244,767.77
  5. Step 5: Solve for x
    x = 26,939,244,767.77/188,465.58
  6. Step 6: Final answer
    x = 142,939.87

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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.