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Finding the Fourth Proportional to 188,030.50, 259,482.10 and 103,147.76

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Solution

The fourth proportional to 188,030.50, 259,482.10 and 103,147.76 is: 142,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,030.50 : 259,482.10 = 103,147.76 : x
  2. Step 2: Convert to fraction form
    188,030.50/259,482.10 = 103,147.76/x
  3. Step 3: Cross multiply
    188,030.50x = 259,482.10 × 103,147.76
  4. Step 4: Simplify right side
    188,030.50x = 26,764,997,375.10
  5. Step 5: Solve for x
    x = 26,764,997,375.10/188,030.50
  6. Step 6: Final answer
    x = 142,343.91

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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.