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Finding the Fourth Proportional to 147,697.60, 221,546.40 and 76,838.80

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Solution

The fourth proportional to 147,697.60, 221,546.40 and 76,838.80 is: 115,258.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,697.60 : 221,546.40 = 76,838.80 : x
  2. Step 2: Convert to fraction form
    147,697.60/221,546.40 = 76,838.80/x
  3. Step 3: Cross multiply
    147,697.60x = 221,546.40 × 76,838.80
  4. Step 4: Simplify right side
    147,697.60x = 17,023,359,520.32
  5. Step 5: Solve for x
    x = 17,023,359,520.32/147,697.60
  6. Step 6: Final answer
    x = 115,258.20

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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.