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Finding the Fourth Proportional to 56,503.20, 84,788.40 and 21,446.40

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Solution

The fourth proportional to 56,503.20, 84,788.40 and 21,446.40 is: 32,182.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,503.20 : 84,788.40 = 21,446.40 : x
  2. Step 2: Convert to fraction form
    56,503.20/84,788.40 = 21,446.40/x
  3. Step 3: Cross multiply
    56,503.20x = 84,788.40 × 21,446.40
  4. Step 4: Simplify right side
    56,503.20x = 1,818,405,941.76
  5. Step 5: Solve for x
    x = 1,818,405,941.76/56,503.20
  6. Step 6: Final answer
    x = 32,182.35

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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.