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Finding the Fourth Proportional to 137,321.60, 205,828.80 and 58,422.40

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Solution

The fourth proportional to 137,321.60, 205,828.80 and 58,422.40 is: 87,568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,321.60 : 205,828.80 = 58,422.40 : x
  2. Step 2: Convert to fraction form
    137,321.60/205,828.80 = 58,422.40/x
  3. Step 3: Cross multiply
    137,321.60x = 205,828.80 × 58,422.40
  4. Step 4: Simplify right side
    137,321.60x = 12,025,012,485.12
  5. Step 5: Solve for x
    x = 12,025,012,485.12/137,321.60
  6. Step 6: Final answer
    x = 87,568.25

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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.