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Finding the Fourth Proportional to 120,303, 180,464.76 and 31,556.16

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Solution

The fourth proportional to 120,303, 180,464.76 and 31,556.16 is: 47,336.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,303 : 180,464.76 = 31,556.16 : x
  2. Step 2: Convert to fraction form
    120,303/180,464.76 = 31,556.16/x
  3. Step 3: Cross multiply
    120,303x = 180,464.76 × 31,556.16
  4. Step 4: Simplify right side
    120,303x = 5,694,774,840.92
  5. Step 5: Solve for x
    x = 5,694,774,840.92/120,303
  6. Step 6: Final answer
    x = 47,336.93

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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.