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Finding the Fourth Proportional to 152,324.75, 210,208.16 and 85,256.75

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Solution

The fourth proportional to 152,324.75, 210,208.16 and 85,256.75 is: 117,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,324.75 : 210,208.16 = 85,256.75 : x
  2. Step 2: Convert to fraction form
    152,324.75/210,208.16 = 85,256.75/x
  3. Step 3: Cross multiply
    152,324.75x = 210,208.16 × 85,256.75
  4. Step 4: Simplify right side
    152,324.75x = 17,921,664,545.08
  5. Step 5: Solve for x
    x = 17,921,664,545.08/152,324.75
  6. Step 6: Final answer
    x = 117,654.32

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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.