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Finding the Fourth Proportional to 157,385.40, 236,078.10 and 146,940.60

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Solution

The fourth proportional to 157,385.40, 236,078.10 and 146,940.60 is: 220,410.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,385.40 : 236,078.10 = 146,940.60 : x
  2. Step 2: Convert to fraction form
    157,385.40/236,078.10 = 146,940.60/x
  3. Step 3: Cross multiply
    157,385.40x = 236,078.10 × 146,940.60
  4. Step 4: Simplify right side
    157,385.40x = 34,689,457,660.86
  5. Step 5: Solve for x
    x = 34,689,457,660.86/157,385.40
  6. Step 6: Final answer
    x = 220,410.90

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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.