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Finding the Fourth Proportional to 56,423.50, 77,864.84 and 31,273

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Solution

The fourth proportional to 56,423.50, 77,864.84 and 31,273 is: 43,156.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,423.50 : 77,864.84 = 31,273 : x
  2. Step 2: Convert to fraction form
    56,423.50/77,864.84 = 31,273/x
  3. Step 3: Cross multiply
    56,423.50x = 77,864.84 × 31,273
  4. Step 4: Simplify right side
    56,423.50x = 2,435,067,141.32
  5. Step 5: Solve for x
    x = 2,435,067,141.32/56,423.50
  6. Step 6: Final answer
    x = 43,156.97

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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.