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Finding the Fourth Proportional to 105,422.74, 158,146.41 and 105,422.74

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Solution

The fourth proportional to 105,422.74, 158,146.41 and 105,422.74 is: 158,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,422.74 : 158,146.41 = 105,422.74 : x
  2. Step 2: Convert to fraction form
    105,422.74/158,146.41 = 105,422.74/x
  3. Step 3: Cross multiply
    105,422.74x = 158,146.41 × 105,422.74
  4. Step 4: Simplify right side
    105,422.74x = 16,672,228,159.87
  5. Step 5: Solve for x
    x = 16,672,228,159.87/105,422.74
  6. Step 6: Final answer
    x = 158,146.41

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1.5x scale

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.