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Finding the Fourth Proportional to 105,156.63, 157,700.96 and 45,169.04

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Solution

The fourth proportional to 105,156.63, 157,700.96 and 45,169.04 is: 67,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,156.63 : 157,700.96 = 45,169.04 : x
  2. Step 2: Convert to fraction form
    105,156.63/157,700.96 = 45,169.04/x
  3. Step 3: Cross multiply
    105,156.63x = 157,700.96 × 45,169.04
  4. Step 4: Simplify right side
    105,156.63x = 7,123,201,308.07
  5. Step 5: Solve for x
    x = 7,123,201,308.07/105,156.63
  6. Step 6: Final answer
    x = 67,738.97

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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.