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Finding the Fourth Proportional to 137,102.59, 189,211.22 and 76,678.86

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Solution

The fourth proportional to 137,102.59, 189,211.22 and 76,678.86 is: 105,822.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,102.59 : 189,211.22 = 76,678.86 : x
  2. Step 2: Convert to fraction form
    137,102.59/189,211.22 = 76,678.86/x
  3. Step 3: Cross multiply
    137,102.59x = 189,211.22 × 76,678.86
  4. Step 4: Simplify right side
    137,102.59x = 14,508,499,319.36
  5. Step 5: Solve for x
    x = 14,508,499,319.36/137,102.59
  6. Step 6: Final answer
    x = 105,822.21

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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.