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Finding the Fourth Proportional to 65,156.72, 97,580.80 and 41,379.20

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Solution

The fourth proportional to 65,156.72, 97,580.80 and 41,379.20 is: 61,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,156.72 : 97,580.80 = 41,379.20 : x
  2. Step 2: Convert to fraction form
    65,156.72/97,580.80 = 41,379.20/x
  3. Step 3: Cross multiply
    65,156.72x = 97,580.80 × 41,379.20
  4. Step 4: Simplify right side
    65,156.72x = 4,037,815,439.36
  5. Step 5: Solve for x
    x = 4,037,815,439.36/65,156.72
  6. Step 6: Final answer
    x = 61,970.82

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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.