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Finding the Fourth Proportional to 56,802, 78,387.12 and 31,651.68

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Solution

The fourth proportional to 56,802, 78,387.12 and 31,651.68 is: 43,679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,802 : 78,387.12 = 31,651.68 : x
  2. Step 2: Convert to fraction form
    56,802/78,387.12 = 31,651.68/x
  3. Step 3: Cross multiply
    56,802x = 78,387.12 × 31,651.68
  4. Step 4: Simplify right side
    56,802x = 2,481,084,038.36
  5. Step 5: Solve for x
    x = 2,481,084,038.36/56,802
  6. Step 6: Final answer
    x = 43,679.52

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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.