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Finding the Fourth Proportional to 78,371.16, 117,980.44 and 71,396

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Solution

The fourth proportional to 78,371.16, 117,980.44 and 71,396 is: 107,479.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,371.16 : 117,980.44 = 71,396 : x
  2. Step 2: Convert to fraction form
    78,371.16/117,980.44 = 71,396/x
  3. Step 3: Cross multiply
    78,371.16x = 117,980.44 × 71,396
  4. Step 4: Simplify right side
    78,371.16x = 8,423,331,494.24
  5. Step 5: Solve for x
    x = 8,423,331,494.24/78,371.16
  6. Step 6: Final answer
    x = 107,479.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.