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Finding the Fourth Proportional to 260,689.76, 359,668.20 and 145,951.48

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Solution

The fourth proportional to 260,689.76, 359,668.20 and 145,951.48 is: 201,366.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,689.76 : 359,668.20 = 145,951.48 : x
  2. Step 2: Convert to fraction form
    260,689.76/359,668.20 = 145,951.48/x
  3. Step 3: Cross multiply
    260,689.76x = 359,668.20 × 145,951.48
  4. Step 4: Simplify right side
    260,689.76x = 52,494,106,098.94
  5. Step 5: Solve for x
    x = 52,494,106,098.94/260,689.76
  6. Step 6: Final answer
    x = 201,366.20

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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.