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Finding the Fourth Proportional to 138,345.48, 190,917.54 and 78,729.48

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Solution

The fourth proportional to 138,345.48, 190,917.54 and 78,729.48 is: 108,647.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,345.48 : 190,917.54 = 78,729.48 : x
  2. Step 2: Convert to fraction form
    138,345.48/190,917.54 = 78,729.48/x
  3. Step 3: Cross multiply
    138,345.48x = 190,917.54 × 78,729.48
  4. Step 4: Simplify right side
    138,345.48x = 15,030,838,647.08
  5. Step 5: Solve for x
    x = 15,030,838,647.08/138,345.48
  6. Step 6: Final answer
    x = 108,647.12

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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.