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Finding the Fourth Proportional to 147,237.84, 220,922.37 and 77,100.75

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Solution

The fourth proportional to 147,237.84, 220,922.37 and 77,100.75 is: 115,685.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,237.84 : 220,922.37 = 77,100.75 : x
  2. Step 2: Convert to fraction form
    147,237.84/220,922.37 = 77,100.75/x
  3. Step 3: Cross multiply
    147,237.84x = 220,922.37 × 77,100.75
  4. Step 4: Simplify right side
    147,237.84x = 17,033,280,418.78
  5. Step 5: Solve for x
    x = 17,033,280,418.78/147,237.84
  6. Step 6: Final answer
    x = 115,685.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.