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Finding the Fourth Proportional to 145,429.71, 218,261.22 and 75,329.07

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Solution

The fourth proportional to 145,429.71, 218,261.22 and 75,329.07 is: 113,054.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,429.71 : 218,261.22 = 75,329.07 : x
  2. Step 2: Convert to fraction form
    145,429.71/218,261.22 = 75,329.07/x
  3. Step 3: Cross multiply
    145,429.71x = 218,261.22 × 75,329.07
  4. Step 4: Simplify right side
    145,429.71x = 16,441,414,719.67
  5. Step 5: Solve for x
    x = 16,441,414,719.67/145,429.71
  6. Step 6: Final answer
    x = 113,054.03

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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.