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Finding the Fourth Proportional to 154,386.30, 213,062.48 and 86,401.88

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Solution

The fourth proportional to 154,386.30, 213,062.48 and 86,401.88 is: 119,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,386.30 : 213,062.48 = 86,401.88 : x
  2. Step 2: Convert to fraction form
    154,386.30/213,062.48 = 86,401.88/x
  3. Step 3: Cross multiply
    154,386.30x = 213,062.48 × 86,401.88
  4. Step 4: Simplify right side
    154,386.30x = 18,408,998,829.46
  5. Step 5: Solve for x
    x = 18,408,998,829.46/154,386.30
  6. Step 6: Final answer
    x = 119,239.85

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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.