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Finding the Fourth Proportional to 56,434.50, 77,879.61 and 31,284

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Solution

The fourth proportional to 56,434.50, 77,879.61 and 31,284 is: 43,171.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,434.50 : 77,879.61 = 31,284 : x
  2. Step 2: Convert to fraction form
    56,434.50/77,879.61 = 31,284/x
  3. Step 3: Cross multiply
    56,434.50x = 77,879.61 × 31,284
  4. Step 4: Simplify right side
    56,434.50x = 2,436,385,719.24
  5. Step 5: Solve for x
    x = 2,436,385,719.24/56,434.50
  6. Step 6: Final answer
    x = 43,171.92

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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.