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Finding the Fourth Proportional to 152,858, 210,944.04 and 85,790

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Solution

The fourth proportional to 152,858, 210,944.04 and 85,790 is: 118,390.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,858 : 210,944.04 = 85,790 : x
  2. Step 2: Convert to fraction form
    152,858/210,944.04 = 85,790/x
  3. Step 3: Cross multiply
    152,858x = 210,944.04 × 85,790
  4. Step 4: Simplify right side
    152,858x = 18,096,889,191.60
  5. Step 5: Solve for x
    x = 18,096,889,191.60/152,858
  6. Step 6: Final answer
    x = 118,390.20

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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.