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Finding the Fourth Proportional to 108,276, 149,435.28 and 63,564

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Solution

The fourth proportional to 108,276, 149,435.28 and 63,564 is: 87,726.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,276 : 149,435.28 = 63,564 : x
  2. Step 2: Convert to fraction form
    108,276/149,435.28 = 63,564/x
  3. Step 3: Cross multiply
    108,276x = 149,435.28 × 63,564
  4. Step 4: Simplify right side
    108,276x = 9,498,704,137.92
  5. Step 5: Solve for x
    x = 9,498,704,137.92/108,276
  6. Step 6: Final answer
    x = 87,726.77

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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.