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Finding the Fourth Proportional to 188,700.80, 260,401.16 and 102,657.57

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Solution

The fourth proportional to 188,700.80, 260,401.16 and 102,657.57 is: 141,664.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,700.80 : 260,401.16 = 102,657.57 : x
  2. Step 2: Convert to fraction form
    188,700.80/260,401.16 = 102,657.57/x
  3. Step 3: Cross multiply
    188,700.80x = 260,401.16 × 102,657.57
  4. Step 4: Simplify right side
    188,700.80x = 26,732,149,797.49
  5. Step 5: Solve for x
    x = 26,732,149,797.49/188,700.80
  6. Step 6: Final answer
    x = 141,664.21

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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.