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Finding the Fourth Proportional to 137,704.77, 190,036.34 and 77,279.11

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Solution

The fourth proportional to 137,704.77, 190,036.34 and 77,279.11 is: 106,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,704.77 : 190,036.34 = 77,279.11 : x
  2. Step 2: Convert to fraction form
    137,704.77/190,036.34 = 77,279.11/x
  3. Step 3: Cross multiply
    137,704.77x = 190,036.34 × 77,279.11
  4. Step 4: Simplify right side
    137,704.77x = 14,685,839,222.86
  5. Step 5: Solve for x
    x = 14,685,839,222.86/137,704.77
  6. Step 6: Final answer
    x = 106,647.28

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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.