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Finding the Fourth Proportional to 137,480.66, 189,723.06 and 77,051.29

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Solution

The fourth proportional to 137,480.66, 189,723.06 and 77,051.29 is: 106,330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,480.66 : 189,723.06 = 77,051.29 : x
  2. Step 2: Convert to fraction form
    137,480.66/189,723.06 = 77,051.29/x
  3. Step 3: Cross multiply
    137,480.66x = 189,723.06 × 77,051.29
  4. Step 4: Simplify right side
    137,480.66x = 14,618,405,396.77
  5. Step 5: Solve for x
    x = 14,618,405,396.77/137,480.66
  6. Step 6: Final answer
    x = 106,330.63

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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.