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Finding the Fourth Proportional to 137,728, 190,074.05 and 76,477.35

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Solution

The fourth proportional to 137,728, 190,074.05 and 76,477.35 is: 105,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,728 : 190,074.05 = 76,477.35 : x
  2. Step 2: Convert to fraction form
    137,728/190,074.05 = 76,477.35/x
  3. Step 3: Cross multiply
    137,728x = 190,074.05 × 76,477.35
  4. Step 4: Simplify right side
    137,728x = 14,536,359,647.77
  5. Step 5: Solve for x
    x = 14,536,359,647.77/137,728
  6. Step 6: Final answer
    x = 105,543.97

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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.