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Finding the Fourth Proportional to 56,148, 84,193.80 and 18,694.84

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Solution

The fourth proportional to 56,148, 84,193.80 and 18,694.84 is: 28,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,148 : 84,193.80 = 18,694.84 : x
  2. Step 2: Convert to fraction form
    56,148/84,193.80 = 18,694.84/x
  3. Step 3: Cross multiply
    56,148x = 84,193.80 × 18,694.84
  4. Step 4: Simplify right side
    56,148x = 1,573,989,619.99
  5. Step 5: Solve for x
    x = 1,573,989,619.99/56,148
  6. Step 6: Final answer
    x = 28,032.87

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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.