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Finding the Fourth Proportional to 52,378, 72,263.40 and 29,714.32

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Solution

The fourth proportional to 52,378, 72,263.40 and 29,714.32 is: 40,995.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,378 : 72,263.40 = 29,714.32 : x
  2. Step 2: Convert to fraction form
    52,378/72,263.40 = 29,714.32/x
  3. Step 3: Cross multiply
    52,378x = 72,263.40 × 29,714.32
  4. Step 4: Simplify right side
    52,378x = 2,147,257,791.89
  5. Step 5: Solve for x
    x = 2,147,257,791.89/52,378
  6. Step 6: Final answer
    x = 40,995.41

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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.