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Finding the Fourth Proportional to 258,655.22, 387,959.76 and 90,146.88

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Solution

The fourth proportional to 258,655.22, 387,959.76 and 90,146.88 is: 135,212.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,655.22 : 387,959.76 = 90,146.88 : x
  2. Step 2: Convert to fraction form
    258,655.22/387,959.76 = 90,146.88/x
  3. Step 3: Cross multiply
    258,655.22x = 387,959.76 × 90,146.88
  4. Step 4: Simplify right side
    258,655.22x = 34,973,361,929.55
  5. Step 5: Solve for x
    x = 34,973,361,929.55/258,655.22
  6. Step 6: Final answer
    x = 135,212.28

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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.