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Finding the Fourth Proportional to 145,231.08, 200,419.02 and 81,573

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Solution

The fourth proportional to 145,231.08, 200,419.02 and 81,573 is: 112,570.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,231.08 : 200,419.02 = 81,573 : x
  2. Step 2: Convert to fraction form
    145,231.08/200,419.02 = 81,573/x
  3. Step 3: Cross multiply
    145,231.08x = 200,419.02 × 81,573
  4. Step 4: Simplify right side
    145,231.08x = 16,348,780,718.46
  5. Step 5: Solve for x
    x = 16,348,780,718.46/145,231.08
  6. Step 6: Final answer
    x = 112,570.81

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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.