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Finding the Fourth Proportional to 188,454, 260,066.52 and 103,576.53

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Solution

The fourth proportional to 188,454, 260,066.52 and 103,576.53 is: 142,935.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,454 : 260,066.52 = 103,576.53 : x
  2. Step 2: Convert to fraction form
    188,454/260,066.52 = 103,576.53/x
  3. Step 3: Cross multiply
    188,454x = 260,066.52 × 103,576.53
  4. Step 4: Simplify right side
    188,454x = 26,936,787,710.78
  5. Step 5: Solve for x
    x = 26,936,787,710.78/188,454
  6. Step 6: Final answer
    x = 142,935.61

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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.