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Finding the Fourth Proportional to 145,584.32, 200,890.08 and 81,944

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Solution

The fourth proportional to 145,584.32, 200,890.08 and 81,944 is: 113,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,584.32 : 200,890.08 = 81,944 : x
  2. Step 2: Convert to fraction form
    145,584.32/200,890.08 = 81,944/x
  3. Step 3: Cross multiply
    145,584.32x = 200,890.08 × 81,944
  4. Step 4: Simplify right side
    145,584.32x = 16,461,736,715.52
  5. Step 5: Solve for x
    x = 16,461,736,715.52/145,584.32
  6. Step 6: Final answer
    x = 113,073.56

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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.