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Finding the Fourth Proportional to 120,307.92, 180,455.28 and 41,420.40

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Solution

The fourth proportional to 120,307.92, 180,455.28 and 41,420.40 is: 62,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,307.92 : 180,455.28 = 41,420.40 : x
  2. Step 2: Convert to fraction form
    120,307.92/180,455.28 = 41,420.40/x
  3. Step 3: Cross multiply
    120,307.92x = 180,455.28 × 41,420.40
  4. Step 4: Simplify right side
    120,307.92x = 7,474,529,879.71
  5. Step 5: Solve for x
    x = 7,474,529,879.71/120,307.92
  6. Step 6: Final answer
    x = 62,128.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.