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Finding the Fourth Proportional to 120,618.84, 166,432.48 and 72,840.20

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Solution

The fourth proportional to 120,618.84, 166,432.48 and 72,840.20 is: 100,506.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,618.84 : 166,432.48 = 72,840.20 : x
  2. Step 2: Convert to fraction form
    120,618.84/166,432.48 = 72,840.20/x
  3. Step 3: Cross multiply
    120,618.84x = 166,432.48 × 72,840.20
  4. Step 4: Simplify right side
    120,618.84x = 12,122,975,129.70
  5. Step 5: Solve for x
    x = 12,122,975,129.70/120,618.84
  6. Step 6: Final answer
    x = 100,506.48

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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.