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Finding the Fourth Proportional to 145,435.18, 218,146.40 and 45,593.10

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Solution

The fourth proportional to 145,435.18, 218,146.40 and 45,593.10 is: 68,387.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,435.18 : 218,146.40 = 45,593.10 : x
  2. Step 2: Convert to fraction form
    145,435.18/218,146.40 = 45,593.10/x
  3. Step 3: Cross multiply
    145,435.18x = 218,146.40 × 45,593.10
  4. Step 4: Simplify right side
    145,435.18x = 9,945,970,629.84
  5. Step 5: Solve for x
    x = 9,945,970,629.84/145,435.18
  6. Step 6: Final answer
    x = 68,387.65

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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.