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Finding the Fourth Proportional to 105,609.58, 145,741.55 and 57,212.01

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Solution

The fourth proportional to 105,609.58, 145,741.55 and 57,212.01 is: 78,952.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,609.58 : 145,741.55 = 57,212.01 : x
  2. Step 2: Convert to fraction form
    105,609.58/145,741.55 = 57,212.01/x
  3. Step 3: Cross multiply
    105,609.58x = 145,741.55 × 57,212.01
  4. Step 4: Simplify right side
    105,609.58x = 8,338,166,729.96
  5. Step 5: Solve for x
    x = 8,338,166,729.96/105,609.58
  6. Step 6: Final answer
    x = 78,952.75

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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.