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Finding the Fourth Proportional to 101,937.60, 140,675.76 and 56,619.78

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Solution

The fourth proportional to 101,937.60, 140,675.76 and 56,619.78 is: 78,136.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,937.60 : 140,675.76 = 56,619.78 : x
  2. Step 2: Convert to fraction form
    101,937.60/140,675.76 = 56,619.78/x
  3. Step 3: Cross multiply
    101,937.60x = 140,675.76 × 56,619.78
  4. Step 4: Simplify right side
    101,937.60x = 7,965,030,582.53
  5. Step 5: Solve for x
    x = 7,965,030,582.53/101,937.60
  6. Step 6: Final answer
    x = 78,136.34

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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.