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Finding the Fourth Proportional to 187,668, 258,981.84 and 102,788.10

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Solution

The fourth proportional to 187,668, 258,981.84 and 102,788.10 is: 141,847.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,668 : 258,981.84 = 102,788.10 : x
  2. Step 2: Convert to fraction form
    187,668/258,981.84 = 102,788.10/x
  3. Step 3: Cross multiply
    187,668x = 258,981.84 × 102,788.10
  4. Step 4: Simplify right side
    187,668x = 26,620,251,268.10
  5. Step 5: Solve for x
    x = 26,620,251,268.10/187,668
  6. Step 6: Final answer
    x = 141,847.58

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1.5x scale

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.