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Finding the Fourth Proportional to 56,727, 78,283.80 and 31,577.04

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Solution

The fourth proportional to 56,727, 78,283.80 and 31,577.04 is: 43,576.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,727 : 78,283.80 = 31,577.04 : x
  2. Step 2: Convert to fraction form
    56,727/78,283.80 = 31,577.04/x
  3. Step 3: Cross multiply
    56,727x = 78,283.80 × 31,577.04
  4. Step 4: Simplify right side
    56,727x = 2,471,970,683.95
  5. Step 5: Solve for x
    x = 2,471,970,683.95/56,727
  6. Step 6: Final answer
    x = 43,576.62

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.