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Finding the Fourth Proportional to 105,222, 145,205.49 and 57,475.38

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Solution

The fourth proportional to 105,222, 145,205.49 and 57,475.38 is: 79,315.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,222 : 145,205.49 = 57,475.38 : x
  2. Step 2: Convert to fraction form
    105,222/145,205.49 = 57,475.38/x
  3. Step 3: Cross multiply
    105,222x = 145,205.49 × 57,475.38
  4. Step 4: Simplify right side
    105,222x = 8,345,740,715.84
  5. Step 5: Solve for x
    x = 8,345,740,715.84/105,222
  6. Step 6: Final answer
    x = 79,315.55

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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.