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Finding the Fourth Proportional to 105,678, 145,835.64 and 60,966

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Solution

The fourth proportional to 105,678, 145,835.64 and 60,966 is: 84,133.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,678 : 145,835.64 = 60,966 : x
  2. Step 2: Convert to fraction form
    105,678/145,835.64 = 60,966/x
  3. Step 3: Cross multiply
    105,678x = 145,835.64 × 60,966
  4. Step 4: Simplify right side
    105,678x = 8,891,015,628.24
  5. Step 5: Solve for x
    x = 8,891,015,628.24/105,678
  6. Step 6: Final answer
    x = 84,133.08

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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.