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Finding the Fourth Proportional to 145,079.82, 200,229.71 and 81,421.11

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Solution

The fourth proportional to 145,079.82, 200,229.71 and 81,421.11 is: 112,372.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,079.82 : 200,229.71 = 81,421.11 : x
  2. Step 2: Convert to fraction form
    145,079.82/200,229.71 = 81,421.11/x
  3. Step 3: Cross multiply
    145,079.82x = 200,229.71 × 81,421.11
  4. Step 4: Simplify right side
    145,079.82x = 16,302,924,836.07
  5. Step 5: Solve for x
    x = 16,302,924,836.07/145,079.82
  6. Step 6: Final answer
    x = 112,372.11

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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.