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Finding the Fourth Proportional to 153,023.86, 211,168.70 and 85,039.09

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Solution

The fourth proportional to 153,023.86, 211,168.70 and 85,039.09 is: 117,351.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,023.86 : 211,168.70 = 85,039.09 : x
  2. Step 2: Convert to fraction form
    153,023.86/211,168.70 = 85,039.09/x
  3. Step 3: Cross multiply
    153,023.86x = 211,168.70 × 85,039.09
  4. Step 4: Simplify right side
    153,023.86x = 17,957,593,769.16
  5. Step 5: Solve for x
    x = 17,957,593,769.16/153,023.86
  6. Step 6: Final answer
    x = 117,351.60

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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.