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Finding the Fourth Proportional to 137,287.71, 189,448.13 and 76,857.86

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Solution

The fourth proportional to 137,287.71, 189,448.13 and 76,857.86 is: 106,058.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,287.71 : 189,448.13 = 76,857.86 : x
  2. Step 2: Convert to fraction form
    137,287.71/189,448.13 = 76,857.86/x
  3. Step 3: Cross multiply
    137,287.71x = 189,448.13 × 76,857.86
  4. Step 4: Simplify right side
    137,287.71x = 14,560,578,518.57
  5. Step 5: Solve for x
    x = 14,560,578,518.57/137,287.71
  6. Step 6: Final answer
    x = 106,058.86

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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.