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Finding the Fourth Proportional to 78,381.91, 117,492.33 and 30,977.74

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Solution

The fourth proportional to 78,381.91, 117,492.33 and 30,977.74 is: 46,434.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,381.91 : 117,492.33 = 30,977.74 : x
  2. Step 2: Convert to fraction form
    78,381.91/117,492.33 = 30,977.74/x
  3. Step 3: Cross multiply
    78,381.91x = 117,492.33 × 30,977.74
  4. Step 4: Simplify right side
    78,381.91x = 3,639,646,263.27
  5. Step 5: Solve for x
    x = 3,639,646,263.27/78,381.91
  6. Step 6: Final answer
    x = 46,434.78

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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.