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Finding the Fourth Proportional to 78,362.16, 117,491.04 and 28,435.78

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Solution

The fourth proportional to 78,362.16, 117,491.04 and 28,435.78 is: 42,634.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,362.16 : 117,491.04 = 28,435.78 : x
  2. Step 2: Convert to fraction form
    78,362.16/117,491.04 = 28,435.78/x
  3. Step 3: Cross multiply
    78,362.16x = 117,491.04 × 28,435.78
  4. Step 4: Simplify right side
    78,362.16x = 3,340,949,365.41
  5. Step 5: Solve for x
    x = 3,340,949,365.41/78,362.16
  6. Step 6: Final answer
    x = 42,634.73

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1.5x scale

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.