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Finding the Fourth Proportional to 56,478.16, 84,684.82 and 21,395.44

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Solution

The fourth proportional to 56,478.16, 84,684.82 and 21,395.44 is: 32,080.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,478.16 : 84,684.82 = 21,395.44 : x
  2. Step 2: Convert to fraction form
    56,478.16/84,684.82 = 21,395.44/x
  3. Step 3: Cross multiply
    56,478.16x = 84,684.82 × 21,395.44
  4. Step 4: Simplify right side
    56,478.16x = 1,811,868,985.22
  5. Step 5: Solve for x
    x = 1,811,868,985.22/56,478.16
  6. Step 6: Final answer
    x = 32,080.88

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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.