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Finding the Fourth Proportional to 194,775.40, 291,932.70 and 145,469.80

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Solution

The fourth proportional to 194,775.40, 291,932.70 and 145,469.80 is: 218,032.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,775.40 : 291,932.70 = 145,469.80 : x
  2. Step 2: Convert to fraction form
    194,775.40/291,932.70 = 145,469.80/x
  3. Step 3: Cross multiply
    194,775.40x = 291,932.70 × 145,469.80
  4. Step 4: Simplify right side
    194,775.40x = 42,467,391,482.46
  5. Step 5: Solve for x
    x = 42,467,391,482.46/194,775.40
  6. Step 6: Final answer
    x = 218,032.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.