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Finding the Fourth Proportional to 188,549.75, 260,199.87 and 103,669.85

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Solution

The fourth proportional to 188,549.75, 260,199.87 and 103,669.85 is: 143,065.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,549.75 : 260,199.87 = 103,669.85 : x
  2. Step 2: Convert to fraction form
    188,549.75/260,199.87 = 103,669.85/x
  3. Step 3: Cross multiply
    188,549.75x = 260,199.87 × 103,669.85
  4. Step 4: Simplify right side
    188,549.75x = 26,974,881,492.92
  5. Step 5: Solve for x
    x = 26,974,881,492.92/188,549.75
  6. Step 6: Final answer
    x = 143,065.06

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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.