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Finding the Fourth Proportional to 56,458, 77,910.40 and 30,963.88

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Solution

The fourth proportional to 56,458, 77,910.40 and 30,963.88 is: 42,729.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,458 : 77,910.40 = 30,963.88 : x
  2. Step 2: Convert to fraction form
    56,458/77,910.40 = 30,963.88/x
  3. Step 3: Cross multiply
    56,458x = 77,910.40 × 30,963.88
  4. Step 4: Simplify right side
    56,458x = 2,412,408,276.35
  5. Step 5: Solve for x
    x = 2,412,408,276.35/56,458
  6. Step 6: Final answer
    x = 42,729.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.