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Finding the Fourth Proportional to 281,083.71, 421,655.12 and 91,558.86

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Solution

The fourth proportional to 281,083.71, 421,655.12 and 91,558.86 is: 137,347.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,083.71 : 421,655.12 = 91,558.86 : x
  2. Step 2: Convert to fraction form
    281,083.71/421,655.12 = 91,558.86/x
  3. Step 3: Cross multiply
    281,083.71x = 421,655.12 × 91,558.86
  4. Step 4: Simplify right side
    281,083.71x = 38,606,262,100.36
  5. Step 5: Solve for x
    x = 38,606,262,100.36/281,083.71
  6. Step 6: Final answer
    x = 137,347.92

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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.