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Finding the Fourth Proportional to 138,959.37, 191,738.66 and 77,706.69

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Solution

The fourth proportional to 138,959.37, 191,738.66 and 77,706.69 is: 107,221.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,959.37 : 191,738.66 = 77,706.69 : x
  2. Step 2: Convert to fraction form
    138,959.37/191,738.66 = 77,706.69/x
  3. Step 3: Cross multiply
    138,959.37x = 191,738.66 × 77,706.69
  4. Step 4: Simplify right side
    138,959.37x = 14,899,376,225.10
  5. Step 5: Solve for x
    x = 14,899,376,225.10/138,959.37
  6. Step 6: Final answer
    x = 107,221.10

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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.