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Finding the Fourth Proportional to 75,203.84, 112,821.60 and 28,455.68

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Solution

The fourth proportional to 75,203.84, 112,821.60 and 28,455.68 is: 42,689.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,203.84 : 112,821.60 = 28,455.68 : x
  2. Step 2: Convert to fraction form
    75,203.84/112,821.60 = 28,455.68/x
  3. Step 3: Cross multiply
    75,203.84x = 112,821.60 × 28,455.68
  4. Step 4: Simplify right side
    75,203.84x = 3,210,415,346.69
  5. Step 5: Solve for x
    x = 3,210,415,346.69/75,203.84
  6. Step 6: Final answer
    x = 42,689.51

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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.