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Finding the Fourth Proportional to 120,137.64, 165,753.56 and 83,838.12

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Solution

The fourth proportional to 120,137.64, 165,753.56 and 83,838.12 is: 115,671.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,137.64 : 165,753.56 = 83,838.12 : x
  2. Step 2: Convert to fraction form
    120,137.64/165,753.56 = 83,838.12/x
  3. Step 3: Cross multiply
    120,137.64x = 165,753.56 × 83,838.12
  4. Step 4: Simplify right side
    120,137.64x = 13,896,466,853.71
  5. Step 5: Solve for x
    x = 13,896,466,853.71/120,137.64
  6. Step 6: Final answer
    x = 115,671.22

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1.5x scale

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.