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Finding the Fourth Proportional to 137,502.64, 189,744.24 and 77,062.96

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Solution

The fourth proportional to 137,502.64, 189,744.24 and 77,062.96 is: 106,341.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,502.64 : 189,744.24 = 77,062.96 : x
  2. Step 2: Convert to fraction form
    137,502.64/189,744.24 = 77,062.96/x
  3. Step 3: Cross multiply
    137,502.64x = 189,744.24 × 77,062.96
  4. Step 4: Simplify right side
    137,502.64x = 14,622,252,777.35
  5. Step 5: Solve for x
    x = 14,622,252,777.35/137,502.64
  6. Step 6: Final answer
    x = 106,341.61

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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.