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Finding the Fourth Proportional to 145,161.52, 200,317.76 and 81,502

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Solution

The fourth proportional to 145,161.52, 200,317.76 and 81,502 is: 112,469.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,161.52 : 200,317.76 = 81,502 : x
  2. Step 2: Convert to fraction form
    145,161.52/200,317.76 = 81,502/x
  3. Step 3: Cross multiply
    145,161.52x = 200,317.76 × 81,502
  4. Step 4: Simplify right side
    145,161.52x = 16,326,298,075.52
  5. Step 5: Solve for x
    x = 16,326,298,075.52/145,161.52
  6. Step 6: Final answer
    x = 112,469.88

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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.