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Finding the Fourth Proportional to 145,098.58, 200,255.58 and 81,439.86

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Solution

The fourth proportional to 145,098.58, 200,255.58 and 81,439.86 is: 112,397.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,098.58 : 200,255.58 = 81,439.86 : x
  2. Step 2: Convert to fraction form
    145,098.58/200,255.58 = 81,439.86/x
  3. Step 3: Cross multiply
    145,098.58x = 200,255.58 × 81,439.86
  4. Step 4: Simplify right side
    145,098.58x = 16,308,786,399.42
  5. Step 5: Solve for x
    x = 16,308,786,399.42/145,098.58
  6. Step 6: Final answer
    x = 112,397.97

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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.