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Finding the Fourth Proportional to 76,121.00, 105,045.53 and 42,129.50

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Solution

The fourth proportional to 76,121.00, 105,045.53 and 42,129.50 is: 58,137.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,121.00 : 105,045.53 = 42,129.50 : x
  2. Step 2: Convert to fraction form
    76,121.00/105,045.53 = 42,129.50/x
  3. Step 3: Cross multiply
    76,121.00x = 105,045.53 × 42,129.50
  4. Step 4: Simplify right side
    76,121.00x = 4,425,515,511.14
  5. Step 5: Solve for x
    x = 4,425,515,511.14/76,121.00
  6. Step 6: Final answer
    x = 58,137.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.