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Finding the Fourth Proportional to 140,915.20, 211,372.80 and 47,411.20

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Solution

The fourth proportional to 140,915.20, 211,372.80 and 47,411.20 is: 71,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,915.20 : 211,372.80 = 47,411.20 : x
  2. Step 2: Convert to fraction form
    140,915.20/211,372.80 = 47,411.20/x
  3. Step 3: Cross multiply
    140,915.20x = 211,372.80 × 47,411.20
  4. Step 4: Simplify right side
    140,915.20x = 10,021,438,095.36
  5. Step 5: Solve for x
    x = 10,021,438,095.36/140,915.20
  6. Step 6: Final answer
    x = 71,116.80

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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.