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Finding the Fourth Proportional to 146,384.70, 219,905.10 and 140,406.90

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Solution

The fourth proportional to 146,384.70, 219,905.10 and 140,406.90 is: 210,925.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,384.70 : 219,905.10 = 140,406.90 : x
  2. Step 2: Convert to fraction form
    146,384.70/219,905.10 = 140,406.90/x
  3. Step 3: Cross multiply
    146,384.70x = 219,905.10 × 140,406.90
  4. Step 4: Simplify right side
    146,384.70x = 30,876,193,385.19
  5. Step 5: Solve for x
    x = 30,876,193,385.19/146,384.70
  6. Step 6: Final answer
    x = 210,925.00

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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.