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Finding the Fourth Proportional to 56,852.72, 78,458 and 31,359.86

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Solution

The fourth proportional to 56,852.72, 78,458 and 31,359.86 is: 43,277.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,852.72 : 78,458 = 31,359.86 : x
  2. Step 2: Convert to fraction form
    56,852.72/78,458 = 31,359.86/x
  3. Step 3: Cross multiply
    56,852.72x = 78,458 × 31,359.86
  4. Step 4: Simplify right side
    56,852.72x = 2,460,431,503.59
  5. Step 5: Solve for x
    x = 2,460,431,503.59/56,852.72
  6. Step 6: Final answer
    x = 43,277.29

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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.