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Finding the Fourth Proportional to 78,577, 117,897.66 and 34,180.84

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Solution

The fourth proportional to 78,577, 117,897.66 and 34,180.84 is: 51,285.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,577 : 117,897.66 = 34,180.84 : x
  2. Step 2: Convert to fraction form
    78,577/117,897.66 = 34,180.84/x
  3. Step 3: Cross multiply
    78,577x = 117,897.66 × 34,180.84
  4. Step 4: Simplify right side
    78,577x = 4,029,841,052.83
  5. Step 5: Solve for x
    x = 4,029,841,052.83/78,577
  6. Step 6: Final answer
    x = 51,285.25

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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.