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Finding the Fourth Proportional to 78,486.46, 117,729.69 and 23,082.46

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Solution

The fourth proportional to 78,486.46, 117,729.69 and 23,082.46 is: 34,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,486.46 : 117,729.69 = 23,082.46 : x
  2. Step 2: Convert to fraction form
    78,486.46/117,729.69 = 23,082.46/x
  3. Step 3: Cross multiply
    78,486.46x = 117,729.69 × 23,082.46
  4. Step 4: Simplify right side
    78,486.46x = 2,717,490,156.18
  5. Step 5: Solve for x
    x = 2,717,490,156.18/78,486.46
  6. Step 6: Final answer
    x = 34,623.68

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1.5x scale

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.