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Finding the Fourth Proportional to 56,479.20, 84,752.40 and 21,422.40

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Solution

The fourth proportional to 56,479.20, 84,752.40 and 21,422.40 is: 32,146.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,479.20 : 84,752.40 = 21,422.40 : x
  2. Step 2: Convert to fraction form
    56,479.20/84,752.40 = 21,422.40/x
  3. Step 3: Cross multiply
    56,479.20x = 84,752.40 × 21,422.40
  4. Step 4: Simplify right side
    56,479.20x = 1,815,599,813.76
  5. Step 5: Solve for x
    x = 1,815,599,813.76/56,479.20
  6. Step 6: Final answer
    x = 32,146.34

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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.