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Finding the Fourth Proportional to 78,325.72, 117,586.22 and 77,965.88

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Solution

The fourth proportional to 78,325.72, 117,586.22 and 77,965.88 is: 117,046.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,325.72 : 117,586.22 = 77,965.88 : x
  2. Step 2: Convert to fraction form
    78,325.72/117,586.22 = 77,965.88/x
  3. Step 3: Cross multiply
    78,325.72x = 117,586.22 × 77,965.88
  4. Step 4: Simplify right side
    78,325.72x = 9,167,712,140.41
  5. Step 5: Solve for x
    x = 9,167,712,140.41/78,325.72
  6. Step 6: Final answer
    x = 117,046.00

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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.