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Finding the Fourth Proportional to 188,537, 260,187.14 and 103,660.20

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Solution

The fourth proportional to 188,537, 260,187.14 and 103,660.20 is: 143,054.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,537 : 260,187.14 = 103,660.20 : x
  2. Step 2: Convert to fraction form
    188,537/260,187.14 = 103,660.20/x
  3. Step 3: Cross multiply
    188,537x = 260,187.14 × 103,660.20
  4. Step 4: Simplify right side
    188,537x = 26,971,050,969.83
  5. Step 5: Solve for x
    x = 26,971,050,969.83/188,537
  6. Step 6: Final answer
    x = 143,054.42

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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.