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Finding the Fourth Proportional to 109,657.20, 164,485.80 and 30,784.80

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Solution

The fourth proportional to 109,657.20, 164,485.80 and 30,784.80 is: 46,177.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,657.20 : 164,485.80 = 30,784.80 : x
  2. Step 2: Convert to fraction form
    109,657.20/164,485.80 = 30,784.80/x
  3. Step 3: Cross multiply
    109,657.20x = 164,485.80 × 30,784.80
  4. Step 4: Simplify right side
    109,657.20x = 5,063,662,455.84
  5. Step 5: Solve for x
    x = 5,063,662,455.84/109,657.20
  6. Step 6: Final answer
    x = 46,177.20

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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.