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Finding the Fourth Proportional to 145,619.26, 218,428.80 and 40,438.20

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Solution

The fourth proportional to 145,619.26, 218,428.80 and 40,438.20 is: 60,657.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,619.26 : 218,428.80 = 40,438.20 : x
  2. Step 2: Convert to fraction form
    145,619.26/218,428.80 = 40,438.20/x
  3. Step 3: Cross multiply
    145,619.26x = 218,428.80 × 40,438.20
  4. Step 4: Simplify right side
    145,619.26x = 8,832,867,500.16
  5. Step 5: Solve for x
    x = 8,832,867,500.16/145,619.26
  6. Step 6: Final answer
    x = 60,657.28

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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.