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Finding the Fourth Proportional to 138,416.96, 206,866.93 and 101,055.71

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Solution

The fourth proportional to 138,416.96, 206,866.93 and 101,055.71 is: 151,029.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,416.96 : 206,866.93 = 101,055.71 : x
  2. Step 2: Convert to fraction form
    138,416.96/206,866.93 = 101,055.71/x
  3. Step 3: Cross multiply
    138,416.96x = 206,866.93 × 101,055.71
  4. Step 4: Simplify right side
    138,416.96x = 20,905,084,486.67
  5. Step 5: Solve for x
    x = 20,905,084,486.67/138,416.96
  6. Step 6: Final answer
    x = 151,029.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.