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Finding the Fourth Proportional to 109,805.10, 164,707.65 and 72,407.40

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Solution

The fourth proportional to 109,805.10, 164,707.65 and 72,407.40 is: 108,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,805.10 : 164,707.65 = 72,407.40 : x
  2. Step 2: Convert to fraction form
    109,805.10/164,707.65 = 72,407.40/x
  3. Step 3: Cross multiply
    109,805.10x = 164,707.65 × 72,407.40
  4. Step 4: Simplify right side
    109,805.10x = 11,926,052,696.61
  5. Step 5: Solve for x
    x = 11,926,052,696.61/109,805.10
  6. Step 6: Final answer
    x = 108,611.10

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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.