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Finding the Fourth Proportional to 78,531, 117,834.30 and 39,091.56

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Solution

The fourth proportional to 78,531, 117,834.30 and 39,091.56 is: 58,656.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,531 : 117,834.30 = 39,091.56 : x
  2. Step 2: Convert to fraction form
    78,531/117,834.30 = 39,091.56/x
  3. Step 3: Cross multiply
    78,531x = 117,834.30 × 39,091.56
  4. Step 4: Simplify right side
    78,531x = 4,606,326,608.51
  5. Step 5: Solve for x
    x = 4,606,326,608.51/78,531
  6. Step 6: Final answer
    x = 58,656.16

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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.