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Finding the Fourth Proportional to 281,117.84, 421,733.10 and 103,625.60

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Solution

The fourth proportional to 281,117.84, 421,733.10 and 103,625.60 is: 155,459.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,117.84 : 421,733.10 = 103,625.60 : x
  2. Step 2: Convert to fraction form
    281,117.84/421,733.10 = 103,625.60/x
  3. Step 3: Cross multiply
    281,117.84x = 421,733.10 × 103,625.60
  4. Step 4: Simplify right side
    281,117.84x = 43,702,345,527.36
  5. Step 5: Solve for x
    x = 43,702,345,527.36/281,117.84
  6. Step 6: Final answer
    x = 155,459.17

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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.