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Finding the Fourth Proportional to 90,782.64, 136,173.96 and 28,458

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Solution

The fourth proportional to 90,782.64, 136,173.96 and 28,458 is: 42,687

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,782.64 : 136,173.96 = 28,458 : x
  2. Step 2: Convert to fraction form
    90,782.64/136,173.96 = 28,458/x
  3. Step 3: Cross multiply
    90,782.64x = 136,173.96 × 28,458
  4. Step 4: Simplify right side
    90,782.64x = 3,875,238,553.68
  5. Step 5: Solve for x
    x = 3,875,238,553.68/90,782.64
  6. Step 6: Final answer
    x = 42,687

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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.