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Finding the Fourth Proportional to 145,412.66, 218,078.67 and 40,223.54

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Solution

The fourth proportional to 145,412.66, 218,078.67 and 40,223.54 is: 60,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,412.66 : 218,078.67 = 40,223.54 : x
  2. Step 2: Convert to fraction form
    145,412.66/218,078.67 = 40,223.54/x
  3. Step 3: Cross multiply
    145,412.66x = 218,078.67 × 40,223.54
  4. Step 4: Simplify right side
    145,412.66x = 8,771,896,105.89
  5. Step 5: Solve for x
    x = 8,771,896,105.89/145,412.66
  6. Step 6: Final answer
    x = 60,324.16

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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.