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Finding the Fourth Proportional to 56,424.80, 84,464.40 and 32,981.60

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Solution

The fourth proportional to 56,424.80, 84,464.40 and 32,981.60 is: 49,371.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,424.80 : 84,464.40 = 32,981.60 : x
  2. Step 2: Convert to fraction form
    56,424.80/84,464.40 = 32,981.60/x
  3. Step 3: Cross multiply
    56,424.80x = 84,464.40 × 32,981.60
  4. Step 4: Simplify right side
    56,424.80x = 2,785,771,055.04
  5. Step 5: Solve for x
    x = 2,785,771,055.04/56,424.80
  6. Step 6: Final answer
    x = 49,371.39

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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.