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Finding the Fourth Proportional to 56,718, 78,270.84 and 31,572.36

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Solution

The fourth proportional to 56,718, 78,270.84 and 31,572.36 is: 43,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,718 : 78,270.84 = 31,572.36 : x
  2. Step 2: Convert to fraction form
    56,718/78,270.84 = 31,572.36/x
  3. Step 3: Cross multiply
    56,718x = 78,270.84 × 31,572.36
  4. Step 4: Simplify right side
    56,718x = 2,471,195,137.98
  5. Step 5: Solve for x
    x = 2,471,195,137.98/56,718
  6. Step 6: Final answer
    x = 43,569.86

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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.