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Finding the Fourth Proportional to 145,326.76, 217,965.53 and 40,146.03

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Solution

The fourth proportional to 145,326.76, 217,965.53 and 40,146.03 is: 60,212.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,326.76 : 217,965.53 = 40,146.03 : x
  2. Step 2: Convert to fraction form
    145,326.76/217,965.53 = 40,146.03/x
  3. Step 3: Cross multiply
    145,326.76x = 217,965.53 × 40,146.03
  4. Step 4: Simplify right side
    145,326.76x = 8,750,450,806.71
  5. Step 5: Solve for x
    x = 8,750,450,806.71/145,326.76
  6. Step 6: Final answer
    x = 60,212.25

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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.