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Finding the Fourth Proportional to 258,168.54, 356,271.44 and 143,465.86

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Solution

The fourth proportional to 258,168.54, 356,271.44 and 143,465.86 is: 197,982.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,168.54 : 356,271.44 = 143,465.86 : x
  2. Step 2: Convert to fraction form
    258,168.54/356,271.44 = 143,465.86/x
  3. Step 3: Cross multiply
    258,168.54x = 356,271.44 × 143,465.86
  4. Step 4: Simplify right side
    258,168.54x = 51,112,788,533.04
  5. Step 5: Solve for x
    x = 51,112,788,533.04/258,168.54
  6. Step 6: Final answer
    x = 197,982.25

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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.