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Finding the Fourth Proportional to 205,611.60, 283,681.80 and 120,680.40

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Solution

The fourth proportional to 205,611.60, 283,681.80 and 120,680.40 is: 166,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,611.60 : 283,681.80 = 120,680.40 : x
  2. Step 2: Convert to fraction form
    205,611.60/283,681.80 = 120,680.40/x
  3. Step 3: Cross multiply
    205,611.60x = 283,681.80 × 120,680.40
  4. Step 4: Simplify right side
    205,611.60x = 34,234,833,096.72
  5. Step 5: Solve for x
    x = 34,234,833,096.72/205,611.60
  6. Step 6: Final answer
    x = 166,502.44

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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.