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Finding the Fourth Proportional to 145,891.83, 201,326.71 and 81,363.03

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Solution

The fourth proportional to 145,891.83, 201,326.71 and 81,363.03 is: 112,278.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,891.83 : 201,326.71 = 81,363.03 : x
  2. Step 2: Convert to fraction form
    145,891.83/201,326.71 = 81,363.03/x
  3. Step 3: Cross multiply
    145,891.83x = 201,326.71 × 81,363.03
  4. Step 4: Simplify right side
    145,891.83x = 16,380,551,145.53
  5. Step 5: Solve for x
    x = 16,380,551,145.53/145,891.83
  6. Step 6: Final answer
    x = 112,278.74

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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.