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Finding the Fourth Proportional to 78,017, 117,030.36 and 31,263.80

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Solution

The fourth proportional to 78,017, 117,030.36 and 31,263.80 is: 46,897.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,017 : 117,030.36 = 31,263.80 : x
  2. Step 2: Convert to fraction form
    78,017/117,030.36 = 31,263.80/x
  3. Step 3: Cross multiply
    78,017x = 117,030.36 × 31,263.80
  4. Step 4: Simplify right side
    78,017x = 3,658,813,768.97
  5. Step 5: Solve for x
    x = 3,658,813,768.97/78,017
  6. Step 6: Final answer
    x = 46,897.65

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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.