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Finding the Fourth Proportional to 258,675.84, 356,977.44 and 143,964

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Solution

The fourth proportional to 258,675.84, 356,977.44 and 143,964 is: 198,672.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,675.84 : 356,977.44 = 143,964 : x
  2. Step 2: Convert to fraction form
    258,675.84/356,977.44 = 143,964/x
  3. Step 3: Cross multiply
    258,675.84x = 356,977.44 × 143,964
  4. Step 4: Simplify right side
    258,675.84x = 51,391,900,172.16
  5. Step 5: Solve for x
    x = 51,391,900,172.16/258,675.84
  6. Step 6: Final answer
    x = 198,672.98

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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.