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Finding the Fourth Proportional to 76,834.75, 106,024.17 and 42,840.01

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Solution

The fourth proportional to 76,834.75, 106,024.17 and 42,840.01 is: 59,114.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,834.75 : 106,024.17 = 42,840.01 : x
  2. Step 2: Convert to fraction form
    76,834.75/106,024.17 = 42,840.01/x
  3. Step 3: Cross multiply
    76,834.75x = 106,024.17 × 42,840.01
  4. Step 4: Simplify right side
    76,834.75x = 4,542,076,503.04
  5. Step 5: Solve for x
    x = 4,542,076,503.04/76,834.75
  6. Step 6: Final answer
    x = 59,114.87

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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.