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Finding the Fourth Proportional to 109,520.94, 164,281.41 and 42,992.40

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Solution

The fourth proportional to 109,520.94, 164,281.41 and 42,992.40 is: 64,488.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,520.94 : 164,281.41 = 42,992.40 : x
  2. Step 2: Convert to fraction form
    109,520.94/164,281.41 = 42,992.40/x
  3. Step 3: Cross multiply
    109,520.94x = 164,281.41 × 42,992.40
  4. Step 4: Simplify right side
    109,520.94x = 7,062,852,091.28
  5. Step 5: Solve for x
    x = 7,062,852,091.28/109,520.94
  6. Step 6: Final answer
    x = 64,488.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.