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Finding the Fourth Proportional to 142,783.70, 214,175.55 and 109,606.10

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Solution

The fourth proportional to 142,783.70, 214,175.55 and 109,606.10 is: 164,409.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,783.70 : 214,175.55 = 109,606.10 : x
  2. Step 2: Convert to fraction form
    142,783.70/214,175.55 = 109,606.10/x
  3. Step 3: Cross multiply
    142,783.70x = 214,175.55 × 109,606.10
  4. Step 4: Simplify right side
    142,783.70x = 23,474,946,750.86
  5. Step 5: Solve for x
    x = 23,474,946,750.86/142,783.70
  6. Step 6: Final answer
    x = 164,409.15

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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.