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Finding the Fourth Proportional to 109,609.60, 164,414.40 and 87,302.20

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Solution

The fourth proportional to 109,609.60, 164,414.40 and 87,302.20 is: 130,953.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,609.60 : 164,414.40 = 87,302.20 : x
  2. Step 2: Convert to fraction form
    109,609.60/164,414.40 = 87,302.20/x
  3. Step 3: Cross multiply
    109,609.60x = 164,414.40 × 87,302.20
  4. Step 4: Simplify right side
    109,609.60x = 14,353,738,831.68
  5. Step 5: Solve for x
    x = 14,353,738,831.68/109,609.60
  6. Step 6: Final answer
    x = 130,953.30

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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.