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Finding the Fourth Proportional to 137,134.49, 189,263.12 and 76,708.49

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Solution

The fourth proportional to 137,134.49, 189,263.12 and 76,708.49 is: 105,867.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,134.49 : 189,263.12 = 76,708.49 : x
  2. Step 2: Convert to fraction form
    137,134.49/189,263.12 = 76,708.49/x
  3. Step 3: Cross multiply
    137,134.49x = 189,263.12 × 76,708.49
  4. Step 4: Simplify right side
    137,134.49x = 14,518,086,818.03
  5. Step 5: Solve for x
    x = 14,518,086,818.03/137,134.49
  6. Step 6: Final answer
    x = 105,867.51

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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.