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Finding the Fourth Proportional to 231,152.16, 318,964.32 and 130,550.16

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Solution

The fourth proportional to 231,152.16, 318,964.32 and 130,550.16 is: 180,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,152.16 : 318,964.32 = 130,550.16 : x
  2. Step 2: Convert to fraction form
    231,152.16/318,964.32 = 130,550.16/x
  3. Step 3: Cross multiply
    231,152.16x = 318,964.32 × 130,550.16
  4. Step 4: Simplify right side
    231,152.16x = 41,640,843,010.29
  5. Step 5: Solve for x
    x = 41,640,843,010.29/231,152.16
  6. Step 6: Final answer
    x = 180,144.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.