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Finding the Fourth Proportional to 120,587.84, 180,857.08 and 45,682.16

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Solution

The fourth proportional to 120,587.84, 180,857.08 and 45,682.16 is: 68,513.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,587.84 : 180,857.08 = 45,682.16 : x
  2. Step 2: Convert to fraction form
    120,587.84/180,857.08 = 45,682.16/x
  3. Step 3: Cross multiply
    120,587.84x = 180,857.08 × 45,682.16
  4. Step 4: Simplify right side
    120,587.84x = 8,261,942,065.69
  5. Step 5: Solve for x
    x = 8,261,942,065.69/120,587.84
  6. Step 6: Final answer
    x = 68,513.89

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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.