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Finding the Fourth Proportional to 139,071.97, 191,923.93 and 78,652.45

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Solution

The fourth proportional to 139,071.97, 191,923.93 and 78,652.45 is: 108,542.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,071.97 : 191,923.93 = 78,652.45 : x
  2. Step 2: Convert to fraction form
    139,071.97/191,923.93 = 78,652.45/x
  3. Step 3: Cross multiply
    139,071.97x = 191,923.93 × 78,652.45
  4. Step 4: Simplify right side
    139,071.97x = 15,095,287,646.35
  5. Step 5: Solve for x
    x = 15,095,287,646.35/139,071.97
  6. Step 6: Final answer
    x = 108,542.99

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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.