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Finding the Fourth Proportional to 145,812.50, 201,221.26 and 78,744.50

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Solution

The fourth proportional to 145,812.50, 201,221.26 and 78,744.50 is: 108,667.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,812.50 : 201,221.26 = 78,744.50 : x
  2. Step 2: Convert to fraction form
    145,812.50/201,221.26 = 78,744.50/x
  3. Step 3: Cross multiply
    145,812.50x = 201,221.26 × 78,744.50
  4. Step 4: Simplify right side
    145,812.50x = 15,845,067,508.07
  5. Step 5: Solve for x
    x = 15,845,067,508.07/145,812.50
  6. Step 6: Final answer
    x = 108,667.42

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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.