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Finding the Fourth Proportional to 82,899.60, 124,392.60 and 36,157.20

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Solution

The fourth proportional to 82,899.60, 124,392.60 and 36,157.20 is: 54,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,899.60 : 124,392.60 = 36,157.20 : x
  2. Step 2: Convert to fraction form
    82,899.60/124,392.60 = 36,157.20/x
  3. Step 3: Cross multiply
    82,899.60x = 124,392.60 × 36,157.20
  4. Step 4: Simplify right side
    82,899.60x = 4,497,688,116.72
  5. Step 5: Solve for x
    x = 4,497,688,116.72/82,899.60
  6. Step 6: Final answer
    x = 54,254.64

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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.