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Finding the Fourth Proportional to 145,774.53, 218,661.79 and 83,401.29

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Solution

The fourth proportional to 145,774.53, 218,661.79 and 83,401.29 is: 125,101.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,774.53 : 218,661.79 = 83,401.29 : x
  2. Step 2: Convert to fraction form
    145,774.53/218,661.79 = 83,401.29/x
  3. Step 3: Cross multiply
    145,774.53x = 218,661.79 × 83,401.29
  4. Step 4: Simplify right side
    145,774.53x = 18,236,673,849.39
  5. Step 5: Solve for x
    x = 18,236,673,849.39/145,774.53
  6. Step 6: Final answer
    x = 125,101.93

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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.