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Finding the Fourth Proportional to 145,410.40, 218,128.02 and 40,229.20

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Solution

The fourth proportional to 145,410.40, 218,128.02 and 40,229.20 is: 60,347.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,410.40 : 218,128.02 = 40,229.20 : x
  2. Step 2: Convert to fraction form
    145,410.40/218,128.02 = 40,229.20/x
  3. Step 3: Cross multiply
    145,410.40x = 218,128.02 × 40,229.20
  4. Step 4: Simplify right side
    145,410.40x = 8,775,115,742.18
  5. Step 5: Solve for x
    x = 8,775,115,742.18/145,410.40
  6. Step 6: Final answer
    x = 60,347.24

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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.