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Finding the Fourth Proportional to 145,139.88, 200,279.34 and 81,465.24

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Solution

The fourth proportional to 145,139.88, 200,279.34 and 81,465.24 is: 112,414.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,139.88 : 200,279.34 = 81,465.24 : x
  2. Step 2: Convert to fraction form
    145,139.88/200,279.34 = 81,465.24/x
  3. Step 3: Cross multiply
    145,139.88x = 200,279.34 × 81,465.24
  4. Step 4: Simplify right side
    145,139.88x = 16,315,804,500.14
  5. Step 5: Solve for x
    x = 16,315,804,500.14/145,139.88
  6. Step 6: Final answer
    x = 112,414.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.