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Finding the Fourth Proportional to 128,039.77, 191,964.54 and 61,416.46

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Solution

The fourth proportional to 128,039.77, 191,964.54 and 61,416.46 is: 92,079.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,039.77 : 191,964.54 = 61,416.46 : x
  2. Step 2: Convert to fraction form
    128,039.77/191,964.54 = 61,416.46/x
  3. Step 3: Cross multiply
    128,039.77x = 191,964.54 × 61,416.46
  4. Step 4: Simplify right side
    128,039.77x = 11,789,781,532.51
  5. Step 5: Solve for x
    x = 11,789,781,532.51/128,039.77
  6. Step 6: Final answer
    x = 92,079.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.