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Finding the Fourth Proportional to 84,585.49, 126,837.72 and 28,410

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Solution

The fourth proportional to 84,585.49, 126,837.72 and 28,410 is: 42,601.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,585.49 : 126,837.72 = 28,410 : x
  2. Step 2: Convert to fraction form
    84,585.49/126,837.72 = 28,410/x
  3. Step 3: Cross multiply
    84,585.49x = 126,837.72 × 28,410
  4. Step 4: Simplify right side
    84,585.49x = 3,603,459,625.20
  5. Step 5: Solve for x
    x = 3,603,459,625.20/84,585.49
  6. Step 6: Final answer
    x = 42,601.39

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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.