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Finding the Fourth Proportional to 148,915.20, 223,372.80 and 65,971.20

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Solution

The fourth proportional to 148,915.20, 223,372.80 and 65,971.20 is: 98,956.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,915.20 : 223,372.80 = 65,971.20 : x
  2. Step 2: Convert to fraction form
    148,915.20/223,372.80 = 65,971.20/x
  3. Step 3: Cross multiply
    148,915.20x = 223,372.80 × 65,971.20
  4. Step 4: Simplify right side
    148,915.20x = 14,736,171,663.36
  5. Step 5: Solve for x
    x = 14,736,171,663.36/148,915.20
  6. Step 6: Final answer
    x = 98,956.80

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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.