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Finding the Fourth Proportional to 188,780.94, 260,512.77 and 102,741.63

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Solution

The fourth proportional to 188,780.94, 260,512.77 and 102,741.63 is: 141,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,780.94 : 260,512.77 = 102,741.63 : x
  2. Step 2: Convert to fraction form
    188,780.94/260,512.77 = 102,741.63/x
  3. Step 3: Cross multiply
    188,780.94x = 260,512.77 × 102,741.63
  4. Step 4: Simplify right side
    188,780.94x = 26,765,506,625.62
  5. Step 5: Solve for x
    x = 26,765,506,625.62/188,780.94
  6. Step 6: Final answer
    x = 141,780.77

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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.