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Finding the Fourth Proportional to 145,957.92, 201,433.34 and 81,447.44

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Solution

The fourth proportional to 145,957.92, 201,433.34 and 81,447.44 is: 112,403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,957.92 : 201,433.34 = 81,447.44 : x
  2. Step 2: Convert to fraction form
    145,957.92/201,433.34 = 81,447.44/x
  3. Step 3: Cross multiply
    145,957.92x = 201,433.34 × 81,447.44
  4. Step 4: Simplify right side
    145,957.92x = 16,406,229,873.65
  5. Step 5: Solve for x
    x = 16,406,229,873.65/145,957.92
  6. Step 6: Final answer
    x = 112,403.83

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.