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Finding the Fourth Proportional to 114,642, 158,268.74 and 80,239.68

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Solution

The fourth proportional to 114,642, 158,268.74 and 80,239.68 is: 110,774.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,642 : 158,268.74 = 80,239.68 : x
  2. Step 2: Convert to fraction form
    114,642/158,268.74 = 80,239.68/x
  3. Step 3: Cross multiply
    114,642x = 158,268.74 × 80,239.68
  4. Step 4: Simplify right side
    114,642x = 12,699,432,650.40
  5. Step 5: Solve for x
    x = 12,699,432,650.40/114,642
  6. Step 6: Final answer
    x = 110,774.70

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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.