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Finding the Fourth Proportional to 105,579.81, 157,972.41 and 74,051.40

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Solution

The fourth proportional to 105,579.81, 157,972.41 and 74,051.40 is: 110,798.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,579.81 : 157,972.41 = 74,051.40 : x
  2. Step 2: Convert to fraction form
    105,579.81/157,972.41 = 74,051.40/x
  3. Step 3: Cross multiply
    105,579.81x = 157,972.41 × 74,051.40
  4. Step 4: Simplify right side
    105,579.81x = 11,698,077,825.68
  5. Step 5: Solve for x
    x = 11,698,077,825.68/105,579.81
  6. Step 6: Final answer
    x = 110,798.44

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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.