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Finding the Fourth Proportional to 138,336.34, 190,904.80 and 77,908.01

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Solution

The fourth proportional to 138,336.34, 190,904.80 and 77,908.01 is: 107,513.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,336.34 : 190,904.80 = 77,908.01 : x
  2. Step 2: Convert to fraction form
    138,336.34/190,904.80 = 77,908.01/x
  3. Step 3: Cross multiply
    138,336.34x = 190,904.80 × 77,908.01
  4. Step 4: Simplify right side
    138,336.34x = 14,873,013,138.07
  5. Step 5: Solve for x
    x = 14,873,013,138.07/138,336.34
  6. Step 6: Final answer
    x = 107,513.42

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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.