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Finding the Fourth Proportional to 145,567.96, 200,887.71 and 81,908.02

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Solution

The fourth proportional to 145,567.96, 200,887.71 and 81,908.02 is: 113,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,567.96 : 200,887.71 = 81,908.02 : x
  2. Step 2: Convert to fraction form
    145,567.96/200,887.71 = 81,908.02/x
  3. Step 3: Cross multiply
    145,567.96x = 200,887.71 × 81,908.02
  4. Step 4: Simplify right side
    145,567.96x = 16,454,314,568.43
  5. Step 5: Solve for x
    x = 16,454,314,568.43/145,567.96
  6. Step 6: Final answer
    x = 113,035.28

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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.