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Finding the Fourth Proportional to 78,868, 118,302.81 and 23,464

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Solution

The fourth proportional to 78,868, 118,302.81 and 23,464 is: 35,196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,868 : 118,302.81 = 23,464 : x
  2. Step 2: Convert to fraction form
    78,868/118,302.81 = 23,464/x
  3. Step 3: Cross multiply
    78,868x = 118,302.81 × 23,464
  4. Step 4: Simplify right side
    78,868x = 2,775,857,133.84
  5. Step 5: Solve for x
    x = 2,775,857,133.84/78,868
  6. Step 6: Final answer
    x = 35,196.24

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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.