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Finding the Fourth Proportional to 188,709.98, 260,426 and 108,152.95

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Solution

The fourth proportional to 188,709.98, 260,426 and 108,152.95 is: 149,254.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,709.98 : 260,426 = 108,152.95 : x
  2. Step 2: Convert to fraction form
    188,709.98/260,426 = 108,152.95/x
  3. Step 3: Cross multiply
    188,709.98x = 260,426 × 108,152.95
  4. Step 4: Simplify right side
    188,709.98x = 28,165,838,854.57
  5. Step 5: Solve for x
    x = 28,165,838,854.57/188,709.98
  6. Step 6: Final answer
    x = 149,254.63

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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.