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Finding the Fourth Proportional to 151,205.68, 208,672.40 and 86,685.60

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Solution

The fourth proportional to 151,205.68, 208,672.40 and 86,685.60 is: 119,631.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,205.68 : 208,672.40 = 86,685.60 : x
  2. Step 2: Convert to fraction form
    151,205.68/208,672.40 = 86,685.60/x
  3. Step 3: Cross multiply
    151,205.68x = 208,672.40 × 86,685.60
  4. Step 4: Simplify right side
    151,205.68x = 18,088,892,197.44
  5. Step 5: Solve for x
    x = 18,088,892,197.44/151,205.68
  6. Step 6: Final answer
    x = 119,631.04

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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.