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Finding the Fourth Proportional to 120,715.57, 166,595.45 and 69,730.45

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Solution

The fourth proportional to 120,715.57, 166,595.45 and 69,730.45 is: 96,232.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,715.57 : 166,595.45 = 69,730.45 : x
  2. Step 2: Convert to fraction form
    120,715.57/166,595.45 = 69,730.45/x
  3. Step 3: Cross multiply
    120,715.57x = 166,595.45 × 69,730.45
  4. Step 4: Simplify right side
    120,715.57x = 11,616,775,401.05
  5. Step 5: Solve for x
    x = 11,616,775,401.05/120,715.57
  6. Step 6: Final answer
    x = 96,232.62

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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.