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Finding the Fourth Proportional to 152,320, 210,201.60 and 85,252.48

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Solution

The fourth proportional to 152,320, 210,201.60 and 85,252.48 is: 117,648.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,320 : 210,201.60 = 85,252.48 : x
  2. Step 2: Convert to fraction form
    152,320/210,201.60 = 85,252.48/x
  3. Step 3: Cross multiply
    152,320x = 210,201.60 × 85,252.48
  4. Step 4: Simplify right side
    152,320x = 17,920,207,699.97
  5. Step 5: Solve for x
    x = 17,920,207,699.97/152,320
  6. Step 6: Final answer
    x = 117,648.42

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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.