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Finding the Fourth Proportional to 170,190, 255,401.64 and 59,382

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Solution

The fourth proportional to 170,190, 255,401.64 and 59,382 is: 89,113.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,190 : 255,401.64 = 59,382 : x
  2. Step 2: Convert to fraction form
    170,190/255,401.64 = 59,382/x
  3. Step 3: Cross multiply
    170,190x = 255,401.64 × 59,382
  4. Step 4: Simplify right side
    170,190x = 15,166,260,186.48
  5. Step 5: Solve for x
    x = 15,166,260,186.48/170,190
  6. Step 6: Final answer
    x = 89,113.70

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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.