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Finding the Fourth Proportional to 152,642.72, 228,938.16 and 40,324.16

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Solution

The fourth proportional to 152,642.72, 228,938.16 and 40,324.16 is: 60,479.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,642.72 : 228,938.16 = 40,324.16 : x
  2. Step 2: Convert to fraction form
    152,642.72/228,938.16 = 40,324.16/x
  3. Step 3: Cross multiply
    152,642.72x = 228,938.16 × 40,324.16
  4. Step 4: Simplify right side
    152,642.72x = 9,231,738,993.95
  5. Step 5: Solve for x
    x = 9,231,738,993.95/152,642.72
  6. Step 6: Final answer
    x = 60,479.39

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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.