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Finding the Fourth Proportional to 138,394.61, 190,979.66 and 83,953.01

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Solution

The fourth proportional to 138,394.61, 190,979.66 and 83,953.01 is: 115,852.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,394.61 : 190,979.66 = 83,953.01 : x
  2. Step 2: Convert to fraction form
    138,394.61/190,979.66 = 83,953.01/x
  3. Step 3: Cross multiply
    138,394.61x = 190,979.66 × 83,953.01
  4. Step 4: Simplify right side
    138,394.61x = 16,033,316,800.79
  5. Step 5: Solve for x
    x = 16,033,316,800.79/138,394.61
  6. Step 6: Final answer
    x = 115,852.17

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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.