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Finding the Fourth Proportional to 56,782, 85,108.40 and 34,546.35

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Solution

The fourth proportional to 56,782, 85,108.40 and 34,546.35 is: 51,780.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,782 : 85,108.40 = 34,546.35 : x
  2. Step 2: Convert to fraction form
    56,782/85,108.40 = 34,546.35/x
  3. Step 3: Cross multiply
    56,782x = 85,108.40 × 34,546.35
  4. Step 4: Simplify right side
    56,782x = 2,940,184,574.34
  5. Step 5: Solve for x
    x = 2,940,184,574.34/56,782
  6. Step 6: Final answer
    x = 51,780.22

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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.