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Finding the Fourth Proportional to 170,208, 255,428.64 and 59,400

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Solution

The fourth proportional to 170,208, 255,428.64 and 59,400 is: 89,140.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,208 : 255,428.64 = 59,400 : x
  2. Step 2: Convert to fraction form
    170,208/255,428.64 = 59,400/x
  3. Step 3: Cross multiply
    170,208x = 255,428.64 × 59,400
  4. Step 4: Simplify right side
    170,208x = 15,172,461,216
  5. Step 5: Solve for x
    x = 15,172,461,216/170,208
  6. Step 6: Final answer
    x = 89,140.71

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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.