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Finding the Fourth Proportional to 137,148.70, 189,280.90 and 76,734.64

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Solution

The fourth proportional to 137,148.70, 189,280.90 and 76,734.64 is: 105,902.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,148.70 : 189,280.90 = 76,734.64 : x
  2. Step 2: Convert to fraction form
    137,148.70/189,280.90 = 76,734.64/x
  3. Step 3: Cross multiply
    137,148.70x = 189,280.90 × 76,734.64
  4. Step 4: Simplify right side
    137,148.70x = 14,524,401,720.38
  5. Step 5: Solve for x
    x = 14,524,401,720.38/137,148.70
  6. Step 6: Final answer
    x = 105,902.58

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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.