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Finding the Fourth Proportional to 109,461.76, 163,955.04 and 67,213.60

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Solution

The fourth proportional to 109,461.76, 163,955.04 and 67,213.60 is: 100,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,461.76 : 163,955.04 = 67,213.60 : x
  2. Step 2: Convert to fraction form
    109,461.76/163,955.04 = 67,213.60/x
  3. Step 3: Cross multiply
    109,461.76x = 163,955.04 × 67,213.60
  4. Step 4: Simplify right side
    109,461.76x = 11,020,008,476.54
  5. Step 5: Solve for x
    x = 11,020,008,476.54/109,461.76
  6. Step 6: Final answer
    x = 100,674.50

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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.