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Finding the Fourth Proportional to 188,453, 260,065.14 and 103,575.53

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Solution

The fourth proportional to 188,453, 260,065.14 and 103,575.53 is: 142,934.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,453 : 260,065.14 = 103,575.53 : x
  2. Step 2: Convert to fraction form
    188,453/260,065.14 = 103,575.53/x
  3. Step 3: Cross multiply
    188,453x = 260,065.14 × 103,575.53
  4. Step 4: Simplify right side
    188,453x = 26,936,384,710.02
  5. Step 5: Solve for x
    x = 26,936,384,710.02/188,453
  6. Step 6: Final answer
    x = 142,934.23

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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.