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Finding the Fourth Proportional to 40,402.88, 55,752 and 22,497.20

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Solution

The fourth proportional to 40,402.88, 55,752 and 22,497.20 is: 31,043.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,402.88 : 55,752 = 22,497.20 : x
  2. Step 2: Convert to fraction form
    40,402.88/55,752 = 22,497.20/x
  3. Step 3: Cross multiply
    40,402.88x = 55,752 × 22,497.20
  4. Step 4: Simplify right side
    40,402.88x = 1,254,263,894.40
  5. Step 5: Solve for x
    x = 1,254,263,894.40/40,402.88
  6. Step 6: Final answer
    x = 31,043.92

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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.