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Finding the Fourth Proportional to 109,265.28, 150,604.80 and 77,393.28

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Solution

The fourth proportional to 109,265.28, 150,604.80 and 77,393.28 is: 106,674.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,265.28 : 150,604.80 = 77,393.28 : x
  2. Step 2: Convert to fraction form
    109,265.28/150,604.80 = 77,393.28/x
  3. Step 3: Cross multiply
    109,265.28x = 150,604.80 × 77,393.28
  4. Step 4: Simplify right side
    109,265.28x = 11,655,799,455.74
  5. Step 5: Solve for x
    x = 11,655,799,455.74/109,265.28
  6. Step 6: Final answer
    x = 106,674.32

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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.