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Finding the Fourth Proportional to 170,213, 255,436.14 and 59,405

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Solution

The fourth proportional to 170,213, 255,436.14 and 59,405 is: 89,148.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,213 : 255,436.14 = 59,405 : x
  2. Step 2: Convert to fraction form
    170,213/255,436.14 = 59,405/x
  3. Step 3: Cross multiply
    170,213x = 255,436.14 × 59,405
  4. Step 4: Simplify right side
    170,213x = 15,174,183,896.70
  5. Step 5: Solve for x
    x = 15,174,183,896.70/170,213
  6. Step 6: Final answer
    x = 89,148.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.