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Finding the Fourth Proportional to 258,035.93, 356,077.47 and 143,322.01

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Solution

The fourth proportional to 258,035.93, 356,077.47 and 143,322.01 is: 197,777.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,035.93 : 356,077.47 = 143,322.01 : x
  2. Step 2: Convert to fraction form
    258,035.93/356,077.47 = 143,322.01/x
  3. Step 3: Cross multiply
    258,035.93x = 356,077.47 × 143,322.01
  4. Step 4: Simplify right side
    258,035.93x = 51,033,737,557.19
  5. Step 5: Solve for x
    x = 51,033,737,557.19/258,035.93
  6. Step 6: Final answer
    x = 197,777.64

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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.