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Finding the Fourth Proportional to 281,113.31, 421,713.81 and 91,528.92

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Solution

The fourth proportional to 281,113.31, 421,713.81 and 91,528.92 is: 137,307.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,113.31 : 421,713.81 = 91,528.92 : x
  2. Step 2: Convert to fraction form
    281,113.31/421,713.81 = 91,528.92/x
  3. Step 3: Cross multiply
    281,113.31x = 421,713.81 × 91,528.92
  4. Step 4: Simplify right side
    281,113.31x = 38,599,009,578.39
  5. Step 5: Solve for x
    x = 38,599,009,578.39/281,113.31
  6. Step 6: Final answer
    x = 137,307.65

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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.