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Finding the Fourth Proportional to 147,110.40, 220,665.60 and 109,785.60

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Solution

The fourth proportional to 147,110.40, 220,665.60 and 109,785.60 is: 164,678.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,110.40 : 220,665.60 = 109,785.60 : x
  2. Step 2: Convert to fraction form
    147,110.40/220,665.60 = 109,785.60/x
  3. Step 3: Cross multiply
    147,110.40x = 220,665.60 × 109,785.60
  4. Step 4: Simplify right side
    147,110.40x = 24,225,905,295.36
  5. Step 5: Solve for x
    x = 24,225,905,295.36/147,110.40
  6. Step 6: Final answer
    x = 164,678.40

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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.