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Finding the Fourth Proportional to 120,477.68, 166,204.68 and 72,715.76

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Solution

The fourth proportional to 120,477.68, 166,204.68 and 72,715.76 is: 100,314.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,477.68 : 166,204.68 = 72,715.76 : x
  2. Step 2: Convert to fraction form
    120,477.68/166,204.68 = 72,715.76/x
  3. Step 3: Cross multiply
    120,477.68x = 166,204.68 × 72,715.76
  4. Step 4: Simplify right side
    120,477.68x = 12,085,699,621.76
  5. Step 5: Solve for x
    x = 12,085,699,621.76/120,477.68
  6. Step 6: Final answer
    x = 100,314.84

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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.