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Finding the Fourth Proportional to 185,820.12, 278,731.32 and 45,578.64

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Solution

The fourth proportional to 185,820.12, 278,731.32 and 45,578.64 is: 68,368.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,820.12 : 278,731.32 = 45,578.64 : x
  2. Step 2: Convert to fraction form
    185,820.12/278,731.32 = 45,578.64/x
  3. Step 3: Cross multiply
    185,820.12x = 278,731.32 × 45,578.64
  4. Step 4: Simplify right side
    185,820.12x = 12,704,194,491.00
  5. Step 5: Solve for x
    x = 12,704,194,491.00/185,820.12
  6. Step 6: Final answer
    x = 68,368.24

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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.