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Finding the Fourth Proportional to 145,991.70, 201,468.60 and 78,923.70

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Solution

The fourth proportional to 145,991.70, 201,468.60 and 78,923.70 is: 108,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,991.70 : 201,468.60 = 78,923.70 : x
  2. Step 2: Convert to fraction form
    145,991.70/201,468.60 = 78,923.70/x
  3. Step 3: Cross multiply
    145,991.70x = 201,468.60 × 78,923.70
  4. Step 4: Simplify right side
    145,991.70x = 15,900,647,345.82
  5. Step 5: Solve for x
    x = 15,900,647,345.82/145,991.70
  6. Step 6: Final answer
    x = 108,914.74

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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.