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Finding the Fourth Proportional to 137,609.85, 189,903.15 and 76,357.15

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Solution

The fourth proportional to 137,609.85, 189,903.15 and 76,357.15 is: 105,373.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,609.85 : 189,903.15 = 76,357.15 : x
  2. Step 2: Convert to fraction form
    137,609.85/189,903.15 = 76,357.15/x
  3. Step 3: Cross multiply
    137,609.85x = 189,903.15 × 76,357.15
  4. Step 4: Simplify right side
    137,609.85x = 14,500,463,310.02
  5. Step 5: Solve for x
    x = 14,500,463,310.02/137,609.85
  6. Step 6: Final answer
    x = 105,373.73

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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.