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Finding the Fourth Proportional to 143,254.80, 197,669.64 and 82,813.68

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Solution

The fourth proportional to 143,254.80, 197,669.64 and 82,813.68 is: 114,270.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,254.80 : 197,669.64 = 82,813.68 : x
  2. Step 2: Convert to fraction form
    143,254.80/197,669.64 = 82,813.68/x
  3. Step 3: Cross multiply
    143,254.80x = 197,669.64 × 82,813.68
  4. Step 4: Simplify right side
    143,254.80x = 16,369,750,312.68
  5. Step 5: Solve for x
    x = 16,369,750,312.68/143,254.80
  6. Step 6: Final answer
    x = 114,270.17

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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.