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Finding the Fourth Proportional to 137,605.92, 189,897.74 and 76,353.22

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Solution

The fourth proportional to 137,605.92, 189,897.74 and 76,353.22 is: 105,368.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,605.92 : 189,897.74 = 76,353.22 : x
  2. Step 2: Convert to fraction form
    137,605.92/189,897.74 = 76,353.22/x
  3. Step 3: Cross multiply
    137,605.92x = 189,897.74 × 76,353.22
  4. Step 4: Simplify right side
    137,605.92x = 14,499,303,919.72
  5. Step 5: Solve for x
    x = 14,499,303,919.72/137,605.92
  6. Step 6: Final answer
    x = 105,368.31

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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.