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Finding the Fourth Proportional to 152,544, 210,522.24 and 85,480.32

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Solution

The fourth proportional to 152,544, 210,522.24 and 85,480.32 is: 117,969.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,544 : 210,522.24 = 85,480.32 : x
  2. Step 2: Convert to fraction form
    152,544/210,522.24 = 85,480.32/x
  3. Step 3: Cross multiply
    152,544x = 210,522.24 × 85,480.32
  4. Step 4: Simplify right side
    152,544x = 17,995,508,442.32
  5. Step 5: Solve for x
    x = 17,995,508,442.32/152,544
  6. Step 6: Final answer
    x = 117,969.30

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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.