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Finding the Fourth Proportional to 210,123, 289,969.74 and 134,671.50

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Solution

The fourth proportional to 210,123, 289,969.74 and 134,671.50 is: 185,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,123 : 289,969.74 = 134,671.50 : x
  2. Step 2: Convert to fraction form
    210,123/289,969.74 = 134,671.50/x
  3. Step 3: Cross multiply
    210,123x = 289,969.74 × 134,671.50
  4. Step 4: Simplify right side
    210,123x = 39,050,659,840.41
  5. Step 5: Solve for x
    x = 39,050,659,840.41/210,123
  6. Step 6: Final answer
    x = 185,846.67

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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.