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Finding the Fourth Proportional to 109,517.60, 164,276.40 and 98,458.40

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Solution

The fourth proportional to 109,517.60, 164,276.40 and 98,458.40 is: 147,687.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,517.60 : 164,276.40 = 98,458.40 : x
  2. Step 2: Convert to fraction form
    109,517.60/164,276.40 = 98,458.40/x
  3. Step 3: Cross multiply
    109,517.60x = 164,276.40 × 98,458.40
  4. Step 4: Simplify right side
    109,517.60x = 16,174,391,501.76
  5. Step 5: Solve for x
    x = 16,174,391,501.76/109,517.60
  6. Step 6: Final answer
    x = 147,687.60

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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.