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Finding the Fourth Proportional to 78,588.96, 117,840.36 and 31,156

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Solution

The fourth proportional to 78,588.96, 117,840.36 and 31,156 is: 46,716.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,588.96 : 117,840.36 = 31,156 : x
  2. Step 2: Convert to fraction form
    78,588.96/117,840.36 = 31,156/x
  3. Step 3: Cross multiply
    78,588.96x = 117,840.36 × 31,156
  4. Step 4: Simplify right side
    78,588.96x = 3,671,434,256.16
  5. Step 5: Solve for x
    x = 3,671,434,256.16/78,588.96
  6. Step 6: Final answer
    x = 46,716.92

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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.