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Finding the Fourth Proportional to 144,036.84, 215,765.88 and 71,771.77

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Solution

The fourth proportional to 144,036.84, 215,765.88 and 71,771.77 is: 107,513.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,036.84 : 215,765.88 = 71,771.77 : x
  2. Step 2: Convert to fraction form
    144,036.84/215,765.88 = 71,771.77/x
  3. Step 3: Cross multiply
    144,036.84x = 215,765.88 × 71,771.77
  4. Step 4: Simplify right side
    144,036.84x = 15,485,899,113.21
  5. Step 5: Solve for x
    x = 15,485,899,113.21/144,036.84
  6. Step 6: Final answer
    x = 107,513.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.