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Finding the Fourth Proportional to 78,548.78, 116,934.82 and 78,081.76

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Solution

The fourth proportional to 78,548.78, 116,934.82 and 78,081.76 is: 116,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,548.78 : 116,934.82 = 78,081.76 : x
  2. Step 2: Convert to fraction form
    78,548.78/116,934.82 = 78,081.76/x
  3. Step 3: Cross multiply
    78,548.78x = 116,934.82 × 78,081.76
  4. Step 4: Simplify right side
    78,548.78x = 9,130,476,550.88
  5. Step 5: Solve for x
    x = 9,130,476,550.88/78,548.78
  6. Step 6: Final answer
    x = 116,239.57

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.