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Finding the Fourth Proportional to 56,894.39, 85,275.06 and 42,809.20

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Solution

The fourth proportional to 56,894.39, 85,275.06 and 42,809.20 is: 64,163.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,894.39 : 85,275.06 = 42,809.20 : x
  2. Step 2: Convert to fraction form
    56,894.39/85,275.06 = 42,809.20/x
  3. Step 3: Cross multiply
    56,894.39x = 85,275.06 × 42,809.20
  4. Step 4: Simplify right side
    56,894.39x = 3,650,557,098.55
  5. Step 5: Solve for x
    x = 3,650,557,098.55/56,894.39
  6. Step 6: Final answer
    x = 64,163.74

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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.