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Finding the Fourth Proportional to 137,328.48, 205,948.08 and 43,812

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Solution

The fourth proportional to 137,328.48, 205,948.08 and 43,812 is: 65,703.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,328.48 : 205,948.08 = 43,812 : x
  2. Step 2: Convert to fraction form
    137,328.48/205,948.08 = 43,812/x
  3. Step 3: Cross multiply
    137,328.48x = 205,948.08 × 43,812
  4. Step 4: Simplify right side
    137,328.48x = 9,022,997,280.96
  5. Step 5: Solve for x
    x = 9,022,997,280.96/137,328.48
  6. Step 6: Final answer
    x = 65,703.76

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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.