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Finding the Fourth Proportional to 188,532, 260,180.24 and 103,655.20

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Solution

The fourth proportional to 188,532, 260,180.24 and 103,655.20 is: 143,047.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,532 : 260,180.24 = 103,655.20 : x
  2. Step 2: Convert to fraction form
    188,532/260,180.24 = 103,655.20/x
  3. Step 3: Cross multiply
    188,532x = 260,180.24 × 103,655.20
  4. Step 4: Simplify right side
    188,532x = 26,969,034,813.25
  5. Step 5: Solve for x
    x = 26,969,034,813.25/188,532
  6. Step 6: Final answer
    x = 143,047.52

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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.