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Finding the Fourth Proportional to 145,464, 200,718.45 and 81,800.43

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Solution

The fourth proportional to 145,464, 200,718.45 and 81,800.43 is: 112,872.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,464 : 200,718.45 = 81,800.43 : x
  2. Step 2: Convert to fraction form
    145,464/200,718.45 = 81,800.43/x
  3. Step 3: Cross multiply
    145,464x = 200,718.45 × 81,800.43
  4. Step 4: Simplify right side
    145,464x = 16,418,855,518.93
  5. Step 5: Solve for x
    x = 16,418,855,518.93/145,464
  6. Step 6: Final answer
    x = 112,872.29

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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.