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Finding the Fourth Proportional to 258,627.84, 387,968.76 and 71,639.34

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Solution

The fourth proportional to 258,627.84, 387,968.76 and 71,639.34 is: 107,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,627.84 : 387,968.76 = 71,639.34 : x
  2. Step 2: Convert to fraction form
    258,627.84/387,968.76 = 71,639.34/x
  3. Step 3: Cross multiply
    258,627.84x = 387,968.76 × 71,639.34
  4. Step 4: Simplify right side
    258,627.84x = 27,793,825,907.02
  5. Step 5: Solve for x
    x = 27,793,825,907.02/258,627.84
  6. Step 6: Final answer
    x = 107,466.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.