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Finding the Fourth Proportional to 56,360, 77,782.48 and 31,209.50

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Solution

The fourth proportional to 56,360, 77,782.48 and 31,209.50 is: 43,072.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,360 : 77,782.48 = 31,209.50 : x
  2. Step 2: Convert to fraction form
    56,360/77,782.48 = 31,209.50/x
  3. Step 3: Cross multiply
    56,360x = 77,782.48 × 31,209.50
  4. Step 4: Simplify right side
    56,360x = 2,427,552,309.56
  5. Step 5: Solve for x
    x = 2,427,552,309.56/56,360
  6. Step 6: Final answer
    x = 43,072.26

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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.