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Finding the Fourth Proportional to 105,701.28, 145,837.44 and 69,878.22

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Solution

The fourth proportional to 105,701.28, 145,837.44 and 69,878.22 is: 96,411.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,701.28 : 145,837.44 = 69,878.22 : x
  2. Step 2: Convert to fraction form
    105,701.28/145,837.44 = 69,878.22/x
  3. Step 3: Cross multiply
    105,701.28x = 145,837.44 × 69,878.22
  4. Step 4: Simplify right side
    105,701.28x = 10,190,860,716.56
  5. Step 5: Solve for x
    x = 10,190,860,716.56/105,701.28
  6. Step 6: Final answer
    x = 96,411.90

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1.5x scale

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.