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Finding the Fourth Proportional to 56,148, 84,243.90 and 21,090.42

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Solution

The fourth proportional to 56,148, 84,243.90 and 21,090.42 is: 31,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,148 : 84,243.90 = 21,090.42 : x
  2. Step 2: Convert to fraction form
    56,148/84,243.90 = 21,090.42/x
  3. Step 3: Cross multiply
    56,148x = 84,243.90 × 21,090.42
  4. Step 4: Simplify right side
    56,148x = 1,776,739,233.44
  5. Step 5: Solve for x
    x = 1,776,739,233.44/56,148
  6. Step 6: Final answer
    x = 31,643.86

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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.