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Finding the Fourth Proportional to 76,140.88, 105,122.07 and 48,927.98

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Solution

The fourth proportional to 76,140.88, 105,122.07 and 48,927.98 is: 67,551.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,140.88 : 105,122.07 = 48,927.98 : x
  2. Step 2: Convert to fraction form
    76,140.88/105,122.07 = 48,927.98/x
  3. Step 3: Cross multiply
    76,140.88x = 105,122.07 × 48,927.98
  4. Step 4: Simplify right side
    76,140.88x = 5,143,410,538.52
  5. Step 5: Solve for x
    x = 5,143,410,538.52/76,140.88
  6. Step 6: Final answer
    x = 67,551.24

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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.