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Finding the Fourth Proportional to 54,785.60, 82,264.80 and 31,457.60

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Solution

The fourth proportional to 54,785.60, 82,264.80 and 31,457.60 is: 47,236.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,785.60 : 82,264.80 = 31,457.60 : x
  2. Step 2: Convert to fraction form
    54,785.60/82,264.80 = 31,457.60/x
  3. Step 3: Cross multiply
    54,785.60x = 82,264.80 × 31,457.60
  4. Step 4: Simplify right side
    54,785.60x = 2,587,853,172.48
  5. Step 5: Solve for x
    x = 2,587,853,172.48/54,785.60
  6. Step 6: Final answer
    x = 47,236.01

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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.