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Finding the Fourth Proportional to 78,000.98, 117,021 and 44,758.58

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Solution

The fourth proportional to 78,000.98, 117,021 and 44,758.58 is: 67,149.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,000.98 : 117,021 = 44,758.58 : x
  2. Step 2: Convert to fraction form
    78,000.98/117,021 = 44,758.58/x
  3. Step 3: Cross multiply
    78,000.98x = 117,021 × 44,758.58
  4. Step 4: Simplify right side
    78,000.98x = 5,237,693,790.18
  5. Step 5: Solve for x
    x = 5,237,693,790.18/78,000.98
  6. Step 6: Final answer
    x = 67,149.08

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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.