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Finding the Fourth Proportional to 105,611.58, 145,744.31 and 57,214.01

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Solution

The fourth proportional to 105,611.58, 145,744.31 and 57,214.01 is: 78,955.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,611.58 : 145,744.31 = 57,214.01 : x
  2. Step 2: Convert to fraction form
    105,611.58/145,744.31 = 57,214.01/x
  3. Step 3: Cross multiply
    105,611.58x = 145,744.31 × 57,214.01
  4. Step 4: Simplify right side
    105,611.58x = 8,338,616,409.78
  5. Step 5: Solve for x
    x = 8,338,616,409.78/105,611.58
  6. Step 6: Final answer
    x = 78,955.51

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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.