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Finding the Fourth Proportional to 258,742, 388,113 and 71,753.50

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Solution

The fourth proportional to 258,742, 388,113 and 71,753.50 is: 107,630.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,742 : 388,113 = 71,753.50 : x
  2. Step 2: Convert to fraction form
    258,742/388,113 = 71,753.50/x
  3. Step 3: Cross multiply
    258,742x = 388,113 × 71,753.50
  4. Step 4: Simplify right side
    258,742x = 27,848,466,145.50
  5. Step 5: Solve for x
    x = 27,848,466,145.50/258,742
  6. Step 6: Final answer
    x = 107,630.25

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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.