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Finding the Fourth Proportional to 56,407.73, 84,611.70 and 14,287.82

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Solution

The fourth proportional to 56,407.73, 84,611.70 and 14,287.82 is: 21,431.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,407.73 : 84,611.70 = 14,287.82 : x
  2. Step 2: Convert to fraction form
    56,407.73/84,611.70 = 14,287.82/x
  3. Step 3: Cross multiply
    56,407.73x = 84,611.70 × 14,287.82
  4. Step 4: Simplify right side
    56,407.73x = 1,208,916,316.44
  5. Step 5: Solve for x
    x = 1,208,916,316.44/56,407.73
  6. Step 6: Final answer
    x = 21,431.75

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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.