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Finding the Fourth Proportional to 56,328, 84,493.20 and 21,284.16

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Solution

The fourth proportional to 56,328, 84,493.20 and 21,284.16 is: 31,926.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,328 : 84,493.20 = 21,284.16 : x
  2. Step 2: Convert to fraction form
    56,328/84,493.20 = 21,284.16/x
  3. Step 3: Cross multiply
    56,328x = 84,493.20 × 21,284.16
  4. Step 4: Simplify right side
    56,328x = 1,798,366,787.71
  5. Step 5: Solve for x
    x = 1,798,366,787.71/56,328
  6. Step 6: Final answer
    x = 31,926.69

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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.