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Finding the Fourth Proportional to 56,866.48, 78,392.67 and 39,817

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Solution

The fourth proportional to 56,866.48, 78,392.67 and 39,817 is: 54,889.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,866.48 : 78,392.67 = 39,817 : x
  2. Step 2: Convert to fraction form
    56,866.48/78,392.67 = 39,817/x
  3. Step 3: Cross multiply
    56,866.48x = 78,392.67 × 39,817
  4. Step 4: Simplify right side
    56,866.48x = 3,121,360,941.39
  5. Step 5: Solve for x
    x = 3,121,360,941.39/56,866.48
  6. Step 6: Final answer
    x = 54,889.29

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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.