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Finding the Fourth Proportional to 140,423.60, 210,456.20 and 57,223.60

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Solution

The fourth proportional to 140,423.60, 210,456.20 and 57,223.60 is: 85,762.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,423.60 : 210,456.20 = 57,223.60 : x
  2. Step 2: Convert to fraction form
    140,423.60/210,456.20 = 57,223.60/x
  3. Step 3: Cross multiply
    140,423.60x = 210,456.20 × 57,223.60
  4. Step 4: Simplify right side
    140,423.60x = 12,043,061,406.32
  5. Step 5: Solve for x
    x = 12,043,061,406.32/140,423.60
  6. Step 6: Final answer
    x = 85,762.37

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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.