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Finding the Fourth Proportional to 188,970.48, 261,013.32 and 137,205

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Solution

The fourth proportional to 188,970.48, 261,013.32 and 137,205 is: 189,512.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,970.48 : 261,013.32 = 137,205 : x
  2. Step 2: Convert to fraction form
    188,970.48/261,013.32 = 137,205/x
  3. Step 3: Cross multiply
    188,970.48x = 261,013.32 × 137,205
  4. Step 4: Simplify right side
    188,970.48x = 35,812,332,570.60
  5. Step 5: Solve for x
    x = 35,812,332,570.60/188,970.48
  6. Step 6: Final answer
    x = 189,512.84

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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.