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Finding the Fourth Proportional to 78,681.93, 118,072.10 and 31,934.80

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Solution

The fourth proportional to 78,681.93, 118,072.10 and 31,934.80 is: 47,922.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,681.93 : 118,072.10 = 31,934.80 : x
  2. Step 2: Convert to fraction form
    78,681.93/118,072.10 = 31,934.80/x
  3. Step 3: Cross multiply
    78,681.93x = 118,072.10 × 31,934.80
  4. Step 4: Simplify right side
    78,681.93x = 3,770,608,899.08
  5. Step 5: Solve for x
    x = 3,770,608,899.08/78,681.93
  6. Step 6: Final answer
    x = 47,922.17

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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.