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Finding the Fourth Proportional to 135,106.76, 202,550.72 and 56,280

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Solution

The fourth proportional to 135,106.76, 202,550.72 and 56,280 is: 84,374.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,106.76 : 202,550.72 = 56,280 : x
  2. Step 2: Convert to fraction form
    135,106.76/202,550.72 = 56,280/x
  3. Step 3: Cross multiply
    135,106.76x = 202,550.72 × 56,280
  4. Step 4: Simplify right side
    135,106.76x = 11,399,554,521.60
  5. Step 5: Solve for x
    x = 11,399,554,521.60/135,106.76
  6. Step 6: Final answer
    x = 84,374.42

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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.