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Finding the Fourth Proportional to 275,763.63, 413,645.76 and 86,225.01

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Solution

The fourth proportional to 275,763.63, 413,645.76 and 86,225.01 is: 129,337.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,763.63 : 413,645.76 = 86,225.01 : x
  2. Step 2: Convert to fraction form
    275,763.63/413,645.76 = 86,225.01/x
  3. Step 3: Cross multiply
    275,763.63x = 413,645.76 × 86,225.01
  4. Step 4: Simplify right side
    275,763.63x = 35,666,609,792.46
  5. Step 5: Solve for x
    x = 35,666,609,792.46/275,763.63
  6. Step 6: Final answer
    x = 129,337.61

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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.