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Finding the Fourth Proportional to 137,149.81, 189,275.74 and 76,730.90

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Solution

The fourth proportional to 137,149.81, 189,275.74 and 76,730.90 is: 105,893.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,149.81 : 189,275.74 = 76,730.90 : x
  2. Step 2: Convert to fraction form
    137,149.81/189,275.74 = 76,730.90/x
  3. Step 3: Cross multiply
    137,149.81x = 189,275.74 × 76,730.90
  4. Step 4: Simplify right side
    137,149.81x = 14,523,296,740.16
  5. Step 5: Solve for x
    x = 14,523,296,740.16/137,149.81
  6. Step 6: Final answer
    x = 105,893.67

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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.