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Finding the Fourth Proportional to 281,309.50, 421,820.70 and 91,647.91

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Solution

The fourth proportional to 281,309.50, 421,820.70 and 91,647.91 is: 137,425.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,309.50 : 421,820.70 = 91,647.91 : x
  2. Step 2: Convert to fraction form
    281,309.50/421,820.70 = 91,647.91/x
  3. Step 3: Cross multiply
    281,309.50x = 421,820.70 × 91,647.91
  4. Step 4: Simplify right side
    281,309.50x = 38,658,985,549.74
  5. Step 5: Solve for x
    x = 38,658,985,549.74/281,309.50
  6. Step 6: Final answer
    x = 137,425.10

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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.