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Finding the Fourth Proportional to 152,869, 210,979.20 and 85,801

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Solution

The fourth proportional to 152,869, 210,979.20 and 85,801 is: 118,416.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,869 : 210,979.20 = 85,801 : x
  2. Step 2: Convert to fraction form
    152,869/210,979.20 = 85,801/x
  3. Step 3: Cross multiply
    152,869x = 210,979.20 × 85,801
  4. Step 4: Simplify right side
    152,869x = 18,102,226,339.20
  5. Step 5: Solve for x
    x = 18,102,226,339.20/152,869
  6. Step 6: Final answer
    x = 118,416.59

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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.