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Finding the Fourth Proportional to 275,970.56, 413,955.84 and 86,445.74

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Solution

The fourth proportional to 275,970.56, 413,955.84 and 86,445.74 is: 129,668.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,970.56 : 413,955.84 = 86,445.74 : x
  2. Step 2: Convert to fraction form
    275,970.56/413,955.84 = 86,445.74/x
  3. Step 3: Cross multiply
    275,970.56x = 413,955.84 × 86,445.74
  4. Step 4: Simplify right side
    275,970.56x = 35,784,718,916.12
  5. Step 5: Solve for x
    x = 35,784,718,916.12/275,970.56
  6. Step 6: Final answer
    x = 129,668.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.