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Finding the Fourth Proportional to 56,159.84, 84,195.72 and 28,078.64

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Solution

The fourth proportional to 56,159.84, 84,195.72 and 28,078.64 is: 42,095.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,159.84 : 84,195.72 = 28,078.64 : x
  2. Step 2: Convert to fraction form
    56,159.84/84,195.72 = 28,078.64/x
  3. Step 3: Cross multiply
    56,159.84x = 84,195.72 × 28,078.64
  4. Step 4: Simplify right side
    56,159.84x = 2,364,101,311.42
  5. Step 5: Solve for x
    x = 2,364,101,311.42/56,159.84
  6. Step 6: Final answer
    x = 42,095.94

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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.