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Finding the Fourth Proportional to 152,868, 210,977.82 and 85,800

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Solution

The fourth proportional to 152,868, 210,977.82 and 85,800 is: 118,415.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,868 : 210,977.82 = 85,800 : x
  2. Step 2: Convert to fraction form
    152,868/210,977.82 = 85,800/x
  3. Step 3: Cross multiply
    152,868x = 210,977.82 × 85,800
  4. Step 4: Simplify right side
    152,868x = 18,101,896,956
  5. Step 5: Solve for x
    x = 18,101,896,956/152,868
  6. Step 6: Final answer
    x = 118,415.21

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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.